LMFDB - Embedded newform 185.2.v.a.104.7

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [185,2,Mod(4,185)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("185.4"); S:= CuspForms(chi, 2); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(185, base_ring=CyclotomicField(18)) chi = DirichletCharacter(H, H._module([9, 1])) N = Newforms(chi, 2, names="a")

Level:	$N$	$=$	$185 = 5 \cdot 37$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	185.v (of order $18$ , degree $6$ , minimal)

Newform invariants

comment:select newform

sage:traces = [] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(0)] == traces)

gp:f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$1.47723243739$
Analytic rank:	$0$
Dimension:	$96$
Relative dimension:	$16$ over $\Q(\zeta_{18})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			104.7
Character	$\chi$	$=$	185.104
Dual form			185.2.v.a.169.7

$q$ -expansion

comment:q-expansion

sage:f.q_expansion() # note that sage often uses an isomorphic number field

gp:mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.381204 + 0.138747i) q^{2} +(1.04077 - 2.85950i) q^{3} +(-1.40602 + 1.17979i) q^{4} +(2.23603 + 0.0131579i) q^{5} +1.23446i q^{6} +(1.76868 - 0.311866i) q^{7} +(0.777958 - 1.34746i) q^{8} +(-4.79540 - 4.02382i) q^{9} +(-0.854209 + 0.305226i) q^{10} +(-0.401914 + 0.696135i) q^{11} +(1.91027 + 5.24842i) q^{12} +(0.737916 - 0.619185i) q^{13} +(-0.630958 + 0.364284i) q^{14} +(2.36482 - 6.38023i) q^{15} +(0.527835 - 2.99350i) q^{16} +(-4.96895 - 4.16945i) q^{17} +(2.38632 + 0.868548i) q^{18} +(-1.57597 + 4.32995i) q^{19} +(-3.15943 + 2.61955i) q^{20} +(0.949014 - 5.38213i) q^{21} +(0.0566245 - 0.321134i) q^{22} +(1.16533 + 2.01842i) q^{23} +(-3.04339 - 3.62697i) q^{24} +(4.99965 + 0.0588431i) q^{25} +(-0.195387 + 0.338419i) q^{26} +(-8.59103 + 4.96003i) q^{27} +(-2.11887 + 2.52517i) q^{28} +(8.39549 + 4.84714i) q^{29} +(-0.0162429 + 2.76028i) q^{30} +5.05958i q^{31} +(0.754490 + 4.27892i) q^{32} +(1.57230 + 1.87379i) q^{33} +(2.47268 + 0.899982i) q^{34} +(3.95893 - 0.674070i) q^{35} +11.4897 q^{36} +(-1.57385 + 5.87563i) q^{37} -1.86926i q^{38} +(-1.00256 - 2.75450i) q^{39} +(1.75727 - 3.00273i) q^{40} +(1.50630 - 1.26393i) q^{41} +(0.384985 + 2.18336i) q^{42} -8.69915 q^{43} +(-0.256195 - 1.45296i) q^{44} +(-10.6697 - 9.06047i) q^{45} +(-0.724279 - 0.607742i) q^{46} +(2.16806 - 1.25173i) q^{47} +(-8.01056 - 4.62490i) q^{48} +(-3.54687 + 1.29096i) q^{49} +(-1.91405 + 0.671255i) q^{50} +(-17.0941 + 9.86927i) q^{51} +(-0.307017 + 1.74118i) q^{52} +(8.74695 + 1.54232i) q^{53} +(2.58674 - 3.08276i) q^{54} +(-0.907850 + 1.55129i) q^{55} +(0.955732 - 2.62585i) q^{56} +(10.7413 + 9.01299i) q^{57} +(-3.87292 - 0.682900i) q^{58} +(3.73942 + 0.659360i) q^{59} +(4.20236 + 11.7608i) q^{60} +(-1.10354 - 1.31515i) q^{61} +(-0.702001 - 1.92873i) q^{62} +(-9.73643 - 5.62133i) q^{63} +(2.15838 + 3.73842i) q^{64} +(1.65815 - 1.37481i) q^{65} +(-0.859348 - 0.496145i) q^{66} +(-12.3097 + 2.17053i) q^{67} +11.9055 q^{68} +(6.98451 - 1.23156i) q^{69} +(-1.41563 + 0.806247i) q^{70} +(-12.4371 - 4.52672i) q^{71} +(-9.15255 + 3.33126i) q^{72} -2.72964i q^{73} +(-0.215268 - 2.45818i) q^{74} +(5.37177 - 14.2353i) q^{75} +(-2.89259 - 7.94734i) q^{76} +(-0.493756 + 1.35658i) q^{77} +(0.764357 + 0.910926i) q^{78} +(8.15046 - 1.43715i) q^{79} +(1.21964 - 6.68661i) q^{80} +(1.98082 + 11.2338i) q^{81} +(-0.398839 + 0.690810i) q^{82} +(-0.466399 + 0.555832i) q^{83} +(5.01546 + 8.68704i) q^{84} +(-11.0559 - 9.38838i) q^{85} +(3.31615 - 1.20698i) q^{86} +(22.5982 - 18.9621i) q^{87} +(0.625343 + 1.08313i) q^{88} +(4.75128 + 0.837778i) q^{89} +(5.32444 + 1.97350i) q^{90} +(1.11204 - 1.32527i) q^{91} +(-4.01980 - 1.46309i) q^{92} +(14.4679 + 5.26588i) q^{93} +(-0.652799 + 0.777976i) q^{94} +(-3.58090 + 9.66116i) q^{95} +(13.0208 + 2.29592i) q^{96} +(-2.87611 - 4.98157i) q^{97} +(1.17297 - 0.984235i) q^{98} +(4.72845 - 1.72102i) q^{99} +O(q^{100})$
$\operatorname{Tr}(f)(q)$	$=$	$96 q - 12 q^{4} - 12 q^{5} - 6 q^{9} - 3 q^{10} - 30 q^{11} - 36 q^{14} - 21 q^{15} - 18 q^{19} - 39 q^{20} - 24 q^{21} + 96 q^{24} + 36 q^{25} + 48 q^{26} - 18 q^{29} - 30 q^{30} - 54 q^{34} + 6 q^{35}+ \cdots - 24 q^{99}+O(q^{100})$ 96 * q - 12 * q^4 - 12 * q^5 - 6 * q^9 - 3 * q^10 - 30 * q^11 - 36 * q^14 - 21 * q^15 - 18 * q^19 - 39 * q^20 - 24 * q^21 + 96 * q^24 + 36 * q^25 + 48 * q^26 - 18 * q^29 - 30 * q^30 - 54 * q^34 + 6 * q^35 + 24 * q^36 - 36 * q^39 - 63 * q^40 + 72 * q^41 - 84 * q^44 - 36 * q^45 - 18 * q^46 - 6 * q^49 - 27 * q^50 - 18 * q^51 + 24 * q^54 + 6 * q^55 + 90 * q^56 + 18 * q^59 + 108 * q^60 - 144 * q^61 + 66 * q^64 + 27 * q^65 - 36 * q^66 - 6 * q^69 - 66 * q^70 - 30 * q^71 - 6 * q^74 + 96 * q^75 - 54 * q^76 + 60 * q^79 - 18 * q^81 + 48 * q^84 + 21 * q^85 - 72 * q^86 + 108 * q^89 + 165 * q^90 - 54 * q^91 + 6 * q^94 + 57 * q^95 + 24 * q^96 - 24 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/185\mathbb{Z}\right)^\times$ .

$n$	$76$	$112$
$\chi(n)$	$e\left(\frac{7}{18}\right)$	$-1$

Coefficient data

For each $n$ we display the coefficients of the $q$ -expansion $a_n$ , the Satake parameters $\alpha_p$ , and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$ .

Display

a_p

with

p

up to: 50 250 1000 (See

a_n

instead) (See

a_n

instead) (See

a_n

instead) Display

a_n

with

n

up to: 50 250 1000 (See only

a_p

) (See only

a_p

) (See only

a_p

)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$\alpha_n$			$\theta_n$
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$\alpha_p$			$\theta_p$

$2$	−0.381204	+	0.138747i	−0.269552	+	0.0981088i	−0.473260	−	0.880923i	$-0.656923\pi$
$2$	−0.381204	+	0.138747i	−0.269552	+	0.0981088i	0.203708	+	0.979032i	$0.434701\pi$
$3$	1.04077	−	2.85950i	0.600890	−	1.65093i	−0.148584	−	0.988900i	$-0.547472\pi$
$3$	1.04077	−	2.85950i	0.600890	−	1.65093i	0.749475	−	0.662033i	$-0.230306\pi$
$4$	−1.40602	+	1.17979i	−0.703012	+	0.589897i
$5$	2.23603	+	0.0131579i	0.999983	+	0.00588441i
$5$	2.23603	+	0.0131579i	0.999983	+	0.00588441i
$6$			1.23446i			0.503965i
$7$	1.76868	−	0.311866i	0.668499	−	0.117874i	0.170909	−	0.985287i	$-0.445330\pi$
$7$	1.76868	−	0.311866i	0.668499	−	0.117874i	0.497590	+	0.867412i	$0.334218\pi$
$8$	0.777958	−	1.34746i	0.275050	−	0.476400i
$9$	−4.79540	−	4.02382i	−1.59847	−	1.34127i
$10$	−0.854209	+	0.305226i	−0.270124	+	0.0965210i
$11$	−0.401914	+	0.696135i	−0.121182	+	0.209893i	−0.920234	−	0.391369i	$-0.872002\pi$
$11$	−0.401914	+	0.696135i	−0.121182	+	0.209893i	0.799052	+	0.601261i	$0.205335\pi$
$12$	1.91027	+	5.24842i	0.551447	+	1.51509i
$13$	0.737916	−	0.619185i	0.204661	−	0.171731i	−0.534696	−	0.845044i	$-0.679574\pi$
$13$	0.737916	−	0.619185i	0.204661	−	0.171731i	0.739357	+	0.673313i	$0.235129\pi$
$14$	−0.630958	+	0.364284i	−0.168631	+	0.0973589i
$15$	2.36482	−	6.38023i	0.610595	−	1.64737i
$16$	0.527835	−	2.99350i	0.131959	−	0.748375i
$17$	−4.96895	−	4.16945i	−1.20515	−	1.01124i	−0.999468	−	0.0326197i	$-0.989615\pi$
$17$	−4.96895	−	4.16945i	−1.20515	−	1.01124i	−0.205680	−	0.978619i	$-0.565941\pi$
$18$	2.38632	+	0.868548i	0.562460	+	0.204719i
$19$	−1.57597	+	4.32995i	−0.361553	+	0.993359i	0.616927	+	0.787020i	$0.288377\pi$
$19$	−1.57597	+	4.32995i	−0.361553	+	0.993359i	−0.978481	+	0.206339i	$0.933845\pi$
$20$	−3.15943	+	2.61955i	−0.706471	+	0.585750i
$21$	0.949014	−	5.38213i	0.207092	−	1.17448i
$22$	0.0566245	−	0.321134i	0.0120724	−	0.0684659i
$23$	1.16533	+	2.01842i	0.242989	+	0.420869i	0.961564	−	0.274580i	$-0.0885388\pi$
$23$	1.16533	+	2.01842i	0.242989	+	0.420869i	−0.718575	+	0.695449i	$0.755205\pi$
$24$	−3.04339	−	3.62697i	−0.621229	−	0.740352i
$25$	4.99965	+	0.0588431i	0.999931	+	0.0117686i
$26$	−0.195387	+	0.338419i	−0.0383185	+	0.0663695i
$27$	−8.59103	+	4.96003i	−1.65334	+	0.954559i
$28$	−2.11887	+	2.52517i	−0.400429	+	0.477213i
$29$	8.39549	+	4.84714i	1.55900	+	0.900092i	0.997353	+	0.0727177i	$0.0231672\pi$
$29$	8.39549	+	4.84714i	1.55900	+	0.900092i	0.561652	+	0.827374i	$0.310166\pi$
$30$	−0.0162429	+	2.76028i	−0.00296554	+	0.503956i
$31$			5.05958i			0.908728i	0.890816	+	0.454364i	$0.150133\pi$
$31$			5.05958i			0.908728i	−0.890816	+	0.454364i	$0.849867\pi$
$32$	0.754490	+	4.27892i	0.133376	+	0.756414i
$33$	1.57230	+	1.87379i	0.273702	+	0.326185i
$34$	2.47268	+	0.899982i	0.424061	+	0.154346i
$35$	3.95893	−	0.674070i	0.669181	−	0.113939i
$36$	11.4897			1.91495
$37$	−1.57385	+	5.87563i	−0.258739	+	0.965947i
$37$	−1.57385	+	5.87563i	−0.258739	+	0.965947i
$38$		−	1.86926i		−	0.303233i
$39$	−1.00256	−	2.75450i	−0.160538	−	0.441073i
$40$	1.75727	−	3.00273i	0.277848	−	0.474773i
$41$	1.50630	−	1.26393i	0.235244	−	0.197393i	−0.517543	−	0.855657i	$-0.673153\pi$
$41$	1.50630	−	1.26393i	0.235244	−	0.197393i	0.752787	+	0.658264i	$0.228709\pi$
$42$	0.384985	+	2.18336i	0.0594045	+	0.336900i
$43$	−8.69915			−1.32661			−0.663304	−	0.748350i	$-0.730846\pi$
$43$	−8.69915			−1.32661			−0.663304	+	0.748350i	$0.730846\pi$
$44$	−0.256195	−	1.45296i	−0.0386229	−	0.219041i
$45$	−10.6697	−	9.06047i	−1.59055	−	1.35065i
$46$	−0.724279	−	0.607742i	−0.106789	−	0.0896067i
$47$	2.16806	−	1.25173i	0.316244	−	0.182584i	−0.333473	−	0.942760i	$-0.608221\pi$
$47$	2.16806	−	1.25173i	0.316244	−	0.182584i	0.649717	+	0.760176i	$0.274887\pi$
$48$	−8.01056	−	4.62490i	−1.15622	−	0.667546i
$49$	−3.54687	+	1.29096i	−0.506696	+	0.184422i
$50$	−1.91405	+	0.671255i	−0.270688	+	0.0949298i
$51$	−17.0941	+	9.86927i	−2.39365	+	1.38197i
$52$	−0.307017	+	1.74118i	−0.0425756	+	0.241458i
$53$	8.74695	+	1.54232i	1.20149	+	0.211854i	0.738341	−	0.674428i	$-0.235610\pi$
$53$	8.74695	+	1.54232i	1.20149	+	0.211854i	0.463145	+	0.886282i	$0.346721\pi$
$54$	2.58674	−	3.08276i	0.352011	−	0.419511i
$55$	−0.907850	+	1.55129i	−0.122415	+	0.209176i
$56$	0.955732	−	2.62585i	0.127715	−	0.350894i
$57$	10.7413	+	9.01299i	1.42272	+	1.19380i
$58$	−3.87292	−	0.682900i	−0.508539	−	0.0896692i
$59$	3.73942	+	0.659360i	0.486831	+	0.0858414i	0.411676	−	0.911330i	$-0.364944\pi$
$59$	3.73942	+	0.659360i	0.486831	+	0.0858414i	0.0751552	+	0.997172i	$0.476055\pi$
$60$	4.20236	+	11.7608i	0.542522	+	1.51831i
$61$	−1.10354	−	1.31515i	−0.141294	−	0.168387i	0.690757	−	0.723087i	$-0.257277\pi$
$61$	−1.10354	−	1.31515i	−0.141294	−	0.168387i	−0.832050	+	0.554700i	$0.812833\pi$
$62$	−0.702001	−	1.92873i	−0.0891543	−	0.244949i
$63$	−9.73643	−	5.62133i	−1.22667	−	0.708221i
$64$	2.15838	+	3.73842i	0.269797	+	0.467303i
$65$	1.65815	−	1.37481i	0.205668	−	0.170524i
$66$	−0.859348	−	0.496145i	−0.105778	−	0.0610712i
$67$	−12.3097	+	2.17053i	−1.50387	+	0.265172i	−0.864070	−	0.503372i	$-0.832093\pi$
$67$	−12.3097	+	2.17053i	−1.50387	+	0.265172i	−0.639797	+	0.768544i	$0.720981\pi$
$68$	11.9055			1.44376
$69$	6.98451	−	1.23156i	0.840836	−	0.148262i
$70$	−1.41563	+	0.806247i	−0.169201	+	0.0963650i
$71$	−12.4371	−	4.52672i	−1.47601	−	0.537223i	−0.526283	−	0.850309i	$-0.676415\pi$
$71$	−12.4371	−	4.52672i	−1.47601	−	0.537223i	−0.949725	+	0.313086i	$0.898637\pi$
$72$	−9.15255	+	3.33126i	−1.07864	+	0.392592i
$73$		−	2.72964i		−	0.319480i	−0.987159	−	0.159740i	$-0.948934\pi$
$73$		−	2.72964i		−	0.319480i	0.987159	−	0.159740i	$-0.0510656\pi$
$74$	−0.215268	−	2.45818i	−0.0250244	−	0.285757i
$75$	5.37177	−	14.2353i	0.620278	−	1.64375i
$76$	−2.89259	−	7.94734i	−0.331803	−	0.911622i
$77$	−0.493756	+	1.35658i	−0.0562688	+	0.154597i
$78$	0.764357	+	0.910926i	0.0865464	+	0.103142i
$79$	8.15046	−	1.43715i	0.916999	−	0.161692i	0.304819	−	0.952410i	$-0.401404\pi$
$79$	8.15046	−	1.43715i	0.916999	−	0.161692i	0.612180	+	0.790719i	$0.290293\pi$
$80$	1.21964	−	6.68661i	0.136360	−	0.747586i
$81$	1.98082	+	11.2338i	0.220091	+	1.24820i
$82$	−0.398839	+	0.690810i	−0.0440444	+	0.0762872i
$83$	−0.466399	+	0.555832i	−0.0511939	+	0.0610105i	−0.791034	−	0.611772i	$-0.790457\pi$
$83$	−0.466399	+	0.555832i	−0.0511939	+	0.0610105i	0.739840	+	0.672783i	$0.234901\pi$
$84$	5.01546	+	8.68704i	0.547232	+	0.947834i
$85$	−11.0559	−	9.38838i	−1.19918	−	1.01831i
$86$	3.31615	−	1.20698i	0.357590	−	0.130152i
$87$	22.5982	−	18.9621i	2.42278	−	2.03295i
$88$	0.625343	+	1.08313i	0.0666618	+	0.115462i
$89$	4.75128	+	0.837778i	0.503634	+	0.0888043i	0.419693	−	0.907666i	$-0.362138\pi$
$89$	4.75128	+	0.837778i	0.503634	+	0.0888043i	0.0839418	+	0.996471i	$0.473249\pi$
$90$	5.32444	+	1.97350i	0.561246	+	0.208025i
$91$	1.11204	−	1.32527i	0.116573	−	0.138926i
$92$	−4.01980	−	1.46309i	−0.419093	−	0.152537i
$93$	14.4679	+	5.26588i	1.50025	+	0.546046i
$94$	−0.652799	+	0.777976i	−0.0673311	+	0.0802421i
$95$	−3.58090	+	9.66116i	−0.367392	+	0.991214i
$96$	13.0208	+	2.29592i	1.32893	+	0.234327i
$97$	−2.87611	−	4.98157i	−0.292025	−	0.505802i	0.682263	−	0.731106i	$-0.260996\pi$
$97$	−2.87611	−	4.98157i	−0.292025	−	0.505802i	−0.974288	+	0.225304i	$0.927662\pi$
$98$	1.17297	−	0.984235i	0.118487	−	0.0994227i
$99$	4.72845	−	1.72102i	0.475227	−	0.172969i
$100$	−7.09905	+	5.81582i	−0.709905	+	0.581582i
$101$	−4.94450	−	8.56413i	−0.491996	−	0.852163i	0.507961	−	0.861380i	$-0.330399\pi$
$101$	−4.94450	−	8.56413i	−0.491996	−	0.852163i	−0.999958	+	0.00921726i	$0.997066\pi$
$102$	5.14700	−	6.13395i	0.509629	−	0.607352i
$103$	−8.01661	+	13.8852i	−0.789900	+	1.36815i	0.136128	+	0.990691i	$0.456534\pi$
$103$	−8.01661	+	13.8852i	−0.789900	+	1.36815i	−0.926028	+	0.377456i	$0.876799\pi$
$104$	−0.260261	−	1.47601i	−0.0255207	−	0.144735i
$105$	2.19284	−	12.0221i	0.213999	−	1.17324i
$106$	−3.54836	+	0.625672i	−0.344648	+	0.0607707i
$107$	7.59448	+	9.05075i	0.734186	+	0.874969i	0.995926	−	0.0901690i	$-0.0287407\pi$
$107$	7.59448	+	9.05075i	0.734186	+	0.874969i	−0.261740	+	0.965138i	$0.584296\pi$
$108$	6.22737	−	17.1096i	0.599229	−	1.64637i
$109$	−3.91897	−	10.7673i	−0.375369	−	1.03132i	−0.973253	−	0.229735i	$-0.926214\pi$
$109$	−3.91897	−	10.7673i	−0.375369	−	1.03132i	0.597884	−	0.801582i	$-0.296008\pi$
$110$	0.130840	−	0.717319i	0.0124751	−	0.0683937i
$111$	15.1633	+	10.6156i	1.43924	+	1.00759i
$112$		−	5.45916i		−	0.515843i
$113$	15.1148	−	5.50132i	1.42188	−	0.517521i	0.487285	−	0.873243i	$-0.337987\pi$
$113$	15.1148	−	5.50132i	1.42188	−	0.517521i	0.934592	+	0.355723i	$0.115765\pi$
$114$	−5.34514	−	1.94547i	−0.500618	−	0.182210i
$115$	2.57916	+	4.52857i	0.240508	+	0.422292i
$116$	−17.5229	+	3.08976i	−1.62696	+	0.286877i
$117$	−6.03009			−0.557482
$118$	−1.51696	+	0.267482i	−0.139648	+	0.0246237i
$119$	−10.0888	−	5.82477i	−0.924839	−	0.533956i
$120$	−6.75739	−	8.15006i	−0.616862	−	0.743995i
$121$	5.17693	+	8.96671i	0.470630	+	0.815155i
$122$	0.603145	+	0.348226i	0.0546062	+	0.0315269i
$123$	−2.04650	−	5.62272i	−0.184527	−	0.506983i
$124$	−5.96926	−	7.11389i	−0.536056	−	0.638846i
$125$	11.1786	+	0.197360i	0.999844	+	0.0176524i
$126$	4.49150	+	0.791973i	0.400135	+	0.0705546i
$127$	2.21106	+	0.389870i	0.196200	+	0.0345953i	0.270884	−	0.962612i	$-0.412684\pi$
$127$	2.21106	+	0.389870i	0.196200	+	0.0345953i	−0.0746845	+	0.997207i	$0.523795\pi$
$128$	−7.99830	−	6.71137i	−0.706956	−	0.593207i
$129$	−9.05384	+	24.8752i	−0.797146	+	2.19014i
$130$	−0.441343	+	0.754145i	−0.0387083	+	0.0661429i
$131$	7.71599	−	9.19555i	0.674149	−	0.803419i	−0.315193	−	0.949027i	$-0.602069\pi$
$131$	7.71599	−	9.19555i	0.674149	−	0.803419i	0.989342	+	0.145608i	$0.0465139\pi$
$132$	−4.42137	−	0.779607i	−0.384831	−	0.0678561i
$133$	−1.43703	+	8.14980i	−0.124606	+	0.706677i
$134$	4.39134	−	2.53534i	0.379354	−	0.219020i
$135$	−19.2751	+	10.9777i	−1.65893	+	0.944813i
$136$	−9.48380	+	3.45182i	−0.813229	+	0.295991i
$137$	−15.8376	−	9.14384i	−1.35310	−	0.781211i	−0.364415	−	0.931237i	$-0.618731\pi$
$137$	−15.8376	−	9.14384i	−1.35310	−	0.781211i	−0.988682	+	0.150026i	$0.952064\pi$
$138$	−2.49165	+	1.43855i	−0.212103	+	0.122458i
$139$	−8.43096	−	7.07442i	−0.715105	−	0.600044i	0.210922	−	0.977503i	$-0.432354\pi$
$139$	−8.43096	−	7.07442i	−0.715105	−	0.600044i	−0.926026	+	0.377459i	$0.876798\pi$
$140$	−4.77108	+	5.61848i	−0.403230	+	0.474848i
$141$	−1.32286	−	7.50233i	−0.111405	−	0.631810i
$142$	5.36913			0.450567
$143$	0.134458	+	0.762548i	0.0112439	+	0.0637675i
$144$	−14.5765	+	12.2311i	−1.21471	+	1.01926i
$145$	18.7088	+	10.9488i	1.55368	+	0.909250i
$146$	0.378729	+	1.04055i	0.0313439	+	0.0861165i
$147$			11.4859i			0.947339i
$148$	−4.71916	−	10.1181i	−0.387913	−	0.831701i
$149$	−9.75416			−0.799092			−0.399546	−	0.916713i	$-0.630832\pi$
$149$	−9.75416			−0.799092			−0.399546	+	0.916713i	$0.630832\pi$
$150$	−0.0726393	+	6.17185i	−0.00593097	+	0.503930i
$151$	−16.7537	−	6.09785i	−1.36340	−	0.496236i	−0.446294	−	0.894886i	$-0.647256\pi$
$151$	−16.7537	−	6.09785i	−1.36340	−	0.496236i	−0.917103	+	0.398650i	$0.869479\pi$
$152$	4.60840	+	5.49208i	0.373791	+	0.445467i
$153$	7.05101	+	39.9883i	0.570041	+	3.23286i
$154$		−	0.585642i		−	0.0471924i
$155$	−0.0665737	+	11.3134i	−0.00534733	+	0.908712i
$156$	4.65936	+	2.69008i	0.373048	+	0.215379i
$157$	−1.02745	+	1.22447i	−0.0819994	+	0.0977231i	−0.805484	−	0.592617i	$-0.798095\pi$
$157$	−1.02745	+	1.22447i	−0.0819994	+	0.0977231i	0.723485	+	0.690340i	$0.242539\pi$
$158$	−2.90759	+	1.67870i	−0.231315	+	0.133550i
$159$	13.5139	−	23.4067i	1.07172	−	1.85627i
$160$	1.63076	+	9.57773i	0.128923	+	0.757186i
$161$	2.69058	+	3.20651i	0.212048	+	0.252708i
$162$	−2.31375	−	4.00753i	−0.181785	−	0.314861i
$163$	0.807863	−	4.58162i	0.0632767	−	0.358860i	−0.936686	−	0.350172i	$-0.886123\pi$
$163$	0.807863	−	4.58162i	0.0632767	−	0.358860i	0.999962	−	0.00868851i	$-0.00276567\pi$
$164$	−0.626708	+	3.55424i	−0.0489376	+	0.277539i
$165$	3.49105	+	4.21054i	0.271778	+	0.327790i
$166$	0.100673	−	0.276597i	0.00781374	−	0.0214681i
$167$	−11.9772	−	4.35935i	−0.926825	−	0.337337i	−0.165875	−	0.986147i	$-0.553045\pi$
$167$	−11.9772	−	4.35935i	−0.926825	−	0.337337i	−0.760950	+	0.648810i	$0.775267\pi$
$168$	−6.51392	−	5.46583i	−0.502560	−	0.421698i
$169$	−2.09630	+	11.8887i	−0.161254	+	0.914514i
$170$	5.51714	+	2.04492i	0.423146	+	0.156838i
$171$	24.9803	−	14.4224i	1.91029	−	1.10291i
$172$	12.2312	−	10.2632i	0.932621	−	0.782562i
$173$	−6.92557	−	19.0279i	−0.526542	−	1.44666i	−0.863117	−	0.505004i	$-0.831491\pi$
$173$	−6.92557	−	19.0279i	−0.526542	−	1.44666i	0.336575	−	0.941657i	$-0.390731\pi$
$174$	−5.98358	+	10.3639i	−0.453614	+	0.785683i
$175$	8.86115	−	1.45515i	0.669840	−	0.109999i
$176$	1.87174	+	1.57057i	0.141087	+	0.118386i
$177$	5.77732	−	10.0066i	0.434250	−	0.752144i
$178$	−1.92744	+	0.339860i	−0.144468	+	0.0254736i
$179$			1.15180i			0.0860896i	0.999073	+	0.0430448i	$0.0137058\pi$
$179$			1.15180i			0.0860896i	−0.999073	+	0.0430448i	$0.986294\pi$
$180$	25.6913	+	0.151181i	1.91492	+	0.0112684i
$181$	12.8650	−	10.7950i	0.956250	−	0.802389i	−0.0240888	−	0.999710i	$-0.507668\pi$
$181$	12.8650	−	10.7950i	0.956250	−	0.802389i	0.980339	+	0.197321i	$0.0632240\pi$
$182$	−0.240035	+	0.659491i	−0.0177926	+	0.0488847i
$183$	−4.90919	+	1.78680i	−0.362898	+	0.132084i
$184$	3.62632			0.267336
$185$	−3.59648	+	13.1174i	−0.264419	+	0.964408i
$186$	−6.24583			−0.457967
$187$	4.89959	−	1.78330i	0.358293	−	0.130408i
$188$	−1.57156	+	4.31782i	−0.114618	+	0.314910i
$189$	−13.6479	+	11.4520i	−0.992741	+	0.833009i
$190$	0.0245956	−	4.17971i	0.00178435	−	0.303228i
$191$			8.38059i			0.606398i	0.952927	+	0.303199i	$0.0980547\pi$
$191$			8.38059i			0.606398i	−0.952927	+	0.303199i	$0.901945\pi$
$192$	12.9364	−	2.28104i	0.933604	−	0.164620i
$193$	−3.27310	+	5.66918i	−0.235603	+	0.408076i	−0.959448	−	0.281887i	$-0.909040\pi$
$193$	−3.27310	+	5.66918i	−0.235603	+	0.408076i	0.723845	+	0.689963i	$0.242373\pi$
$194$	1.78756	+	1.49994i	0.128340	+	0.107690i
$195$	−2.20550	−	6.17234i	−0.157939	−	0.442010i
$196$	3.46392	−	5.99969i	0.247423	−	0.428549i
$197$	0.995942	+	2.73633i	0.0709580	+	0.194955i	0.970102	−	0.242697i	$-0.0780322\pi$
$197$	0.995942	+	2.73633i	0.0709580	+	0.194955i	−0.899144	+	0.437653i	$0.855810\pi$
$198$	−1.56372	+	1.31212i	−0.111129	+	0.0932480i
$199$	7.93604	−	4.58187i	0.562571	−	0.324800i	−0.191606	−	0.981472i	$-0.561370\pi$
$199$	7.93604	−	4.58187i	0.562571	−	0.324800i	0.754177	+	0.656671i	$0.228036\pi$
$200$	3.96881	−	6.69107i	0.280637	−	0.473130i
$201$	−6.60495	+	37.4585i	−0.465877	+	2.64212i
$202$	3.07311	+	2.57865i	0.216223	+	0.181433i
$203$	16.3606	+	5.95478i	1.14829	+	0.417944i
$204$	12.3910	−	34.0439i	0.867541	−	2.38355i
$205$	3.38475	−	2.80637i	0.236401	−	0.196005i
$206$	1.12944	−	6.40536i	0.0786917	−	0.446283i
$207$	2.53350	−	14.3682i	0.176091	−	0.998659i
$208$	−1.46403	−	2.53578i	−0.101512	−	0.175825i
$209$	−2.38082	−	2.83736i	−0.164685	−	0.196264i
$210$	0.832110	+	4.88712i	0.0574211	+	0.337244i
$211$	5.64904	−	9.78442i	0.388896	−	0.673587i	−0.603405	−	0.797435i	$-0.706190\pi$
$211$	5.64904	−	9.78442i	0.388896	−	0.673587i	0.992301	+	0.123847i	$0.0395233\pi$
$212$	−14.1180	+	8.15105i	−0.969631	+	0.559817i
$213$	−25.8883	+	30.8525i	−1.77384	+	2.11398i
$214$	−4.15081	−	2.39647i	−0.283744	−	0.163819i
$215$	−19.4516	−	0.114463i	−1.32658	−	0.00780631i
$216$			15.4348i			1.05020i
$217$	1.57791	+	8.94880i	0.107116	+	0.607484i
$218$	2.98785	+	3.56078i	0.202363	+	0.241167i
$219$	−7.80541	−	2.84094i	−0.527441	−	0.191973i
$220$	−0.553743	−	3.25222i	−0.0373333	−	0.219265i
$221$	−6.24833			−0.420308
$222$	−7.25321	−	1.94285i	−0.486803	−	0.130395i
$223$			17.5376i			1.17440i	0.809441	+	0.587202i	$0.199770\pi$
$223$			17.5376i			1.17440i	−0.809441	+	0.587202i	$0.800230\pi$
$224$	2.66890	+	7.33276i	0.178324	+	0.489940i
$225$	−23.7385	−	20.3999i	−1.58257	−	1.35999i
$226$	−4.99851	+	4.19425i	−0.332496	+	0.278997i
$227$	−3.13521	−	17.7806i	−0.208091	−	1.18014i	−0.892501	−	0.451046i	$-0.851051\pi$
$227$	−3.13521	−	17.7806i	−0.208091	−	1.18014i	0.684410	−	0.729098i	$-0.260060\pi$
$228$	−25.7359			−1.70440
$229$	1.79675	+	10.1899i	0.118733	+	0.673367i	0.984834	+	0.173498i	$0.0555072\pi$
$229$	1.79675	+	10.1899i	0.118733	+	0.673367i	−0.866101	+	0.499868i	$0.833382\pi$
$230$	−1.61151	−	1.36846i	−0.106260	−	0.0902335i
$231$	3.36527	+	2.82379i	0.221418	+	0.185792i
$232$	13.0627	−	7.54174i	0.857607	−	0.495139i
$233$	12.1339	+	7.00549i	0.794916	+	0.458945i	0.841690	−	0.539960i	$-0.181561\pi$
$233$	12.1339	+	7.00549i	0.794916	+	0.458945i	−0.0467742	+	0.998905i	$0.514894\pi$
$234$	2.29869	−	0.836656i	0.150270	−	0.0546939i
$235$	4.86431	−	2.77038i	0.317313	−	0.180719i
$236$	−6.03562	+	3.48467i	−0.392885	+	0.226832i
$237$	4.37326	−	24.8020i	0.284074	−	1.61106i
$238$	4.65406	+	0.820636i	0.301678	+	0.0531940i
$239$	−4.76612	+	5.68005i	−0.308295	+	0.367412i	−0.897838	−	0.440325i	$-0.854863\pi$
$239$	−4.76612	+	5.68005i	−0.308295	+	0.367412i	0.589543	+	0.807737i	$0.299308\pi$
$240$	−17.8510	−	10.4468i	−1.15228	−	0.674339i
$241$	2.48441	−	6.82587i	0.160035	−	0.439693i	−0.833596	−	0.552375i	$-0.813722\pi$
$241$	2.48441	−	6.82587i	0.160035	−	0.439693i	0.993631	+	0.112682i	$0.0359440\pi$
$242$	−3.21757	−	2.69986i	−0.206833	−	0.173554i
$243$	4.87651	+	0.859861i	0.312828	+	0.0551601i
$244$	3.10320	+	0.547178i	0.198662	+	0.0350295i
$245$	−7.94790	+	2.83995i	−0.507772	+	0.181437i
$246$	1.56027	+	1.85946i	0.0994791	+	0.118555i
$247$	1.51811	+	4.17096i	0.0965948	+	0.265392i
$248$	6.81760	+	3.93614i	0.432918	+	0.249945i
$249$	1.10399	+	1.91216i	0.0699623	+	0.121178i
$250$	−4.28871	+	1.47576i	−0.271242	+	0.0933353i
$251$	0.716785	+	0.413836i	0.0452431	+	0.0261211i	0.522451	−	0.852669i	$-0.325018\pi$
$251$	0.716785	+	0.413836i	0.0452431	+	0.0261211i	−0.477208	+	0.878790i	$0.658351\pi$
$252$	20.3216	−	3.58325i	1.28014	−	0.225724i
$253$	−1.87345			−0.117783
$254$	−0.896958	+	0.158158i	−0.0562802	+	0.00992371i
$255$	−38.3527	+	21.8431i	−2.40174	+	1.36786i
$256$	−4.13268	−	1.50417i	−0.258293	−	0.0940109i
$257$	15.0418	−	5.47478i	0.938285	−	0.341508i	0.172796	−	0.984958i	$-0.444720\pi$
$257$	15.0418	−	5.47478i	0.938285	−	0.341508i	0.765488	+	0.643450i	$0.222498\pi$
$258$		−	10.7387i		−	0.668563i
$259$	−0.951227	+	10.8829i	−0.0591064	+	0.676234i
$260$	−0.709409	+	3.88929i	−0.0439957	+	0.241203i
$261$	−20.7557	−	57.0259i	−1.28475	−	3.52981i
$262$	−1.66551	+	4.57595i	−0.102896	+	0.282703i
$263$	−9.85352	−	11.7430i	−0.607594	−	0.724102i	0.371291	−	0.928517i	$-0.378915\pi$
$263$	−9.85352	−	11.7430i	−0.607594	−	0.724102i	−0.978884	+	0.204415i	$0.934471\pi$
$264$	3.74804	−	0.660881i	0.230676	−	0.0406744i
$265$	19.5381	+	3.56377i	1.20022	+	0.218921i
$266$	−0.582958	−	3.30612i	−0.0357434	−	0.202711i
$267$	7.34063	−	12.7143i	0.449239	−	0.778105i
$268$	14.7469	−	17.5747i	0.900811	−	1.07355i
$269$	−1.73271	−	3.00115i	−0.105645	−	0.182983i	0.808356	−	0.588694i	$-0.200358\pi$
$269$	−1.73271	−	3.00115i	−0.105645	−	0.182983i	−0.914002	+	0.405710i	$0.867024\pi$
$270$	5.82460	−	6.85911i	0.354474	−	0.417432i
$271$	9.00650	−	3.27810i	0.547106	−	0.199130i	−0.0536543	−	0.998560i	$-0.517087\pi$
$271$	9.00650	−	3.27810i	0.547106	−	0.199130i	0.600760	+	0.799429i	$0.294865\pi$
$272$	−15.1040	+	12.6738i	−0.915816	+	0.768461i
$273$	−2.63224	−	4.55918i	−0.159311	−	0.275934i
$274$	7.30603	+	1.28825i	0.441374	+	0.0778261i
$275$	−2.05039	+	3.45678i	−0.123643	+	0.208452i
$276$	−8.36740	+	9.97188i	−0.503658	+	0.600237i
$277$	9.16404	+	3.33544i	0.550614	+	0.200407i	0.602319	−	0.798255i	$-0.294243\pi$
$277$	9.16404	+	3.33544i	0.550614	+	0.200407i	−0.0517054	+	0.998662i	$0.516466\pi$
$278$	4.19547	+	1.52703i	0.251627	+	0.0915849i
$279$	20.3588	−	24.2627i	1.21885	−	1.45257i
$280$	2.17159	−	5.85890i	0.129778	−	0.350136i
$281$	8.72852	+	1.53907i	0.520700	+	0.0918135i	0.427820	−	0.903864i	$-0.359282\pi$
$281$	8.72852	+	1.53907i	0.520700	+	0.0918135i	0.0928798	+	0.995677i	$0.470393\pi$
$282$	1.54521	+	2.67637i	0.0920157	+	0.159376i
$283$	16.2235	−	13.6131i	0.964384	−	0.809214i	−0.0172765	−	0.999851i	$-0.505500\pi$
$283$	16.2235	−	13.6131i	0.964384	−	0.809214i	0.981661	+	0.190636i	$0.0610551\pi$
$284$	22.8274	−	8.30849i	1.35456	−	0.493018i
$285$	23.8992	+	20.2946i	1.41567	+	1.20215i
$286$	−0.157057	−	0.272031i	−0.00928698	−	0.0160855i
$287$	2.26998	−	2.70526i	0.133993	−	0.159686i
$288$	13.5995	−	23.5551i	0.801360	−	1.38800i
$289$	4.35418	+	24.6938i	0.256129	+	1.45258i
$290$	−8.65098	−	1.57794i	−0.508003	−	0.0926601i
$291$	−17.2382	+	3.03956i	−1.01052	+	0.178182i
$292$	3.22041	+	3.83794i	0.188460	+	0.224598i
$293$	0.0769364	−	0.211381i	0.00449467	−	0.0123490i	−0.937425	−	0.348187i	$-0.886797\pi$
$293$	0.0769364	−	0.211381i	0.00449467	−	0.0123490i	0.941920	+	0.335838i	$0.109020\pi$
$294$	−1.59363	−	4.37846i	−0.0929423	−	0.255357i
$295$	8.35277	+	1.52355i	0.486317	+	0.0887046i
$296$	6.69280	+	6.69169i	0.389011	+	0.388947i
$297$		−	7.97402i		−	0.462700i
$298$	3.71832	−	1.35336i	0.215397	−	0.0783980i
$299$	2.10969	+	0.767866i	0.122007	+	0.0444068i
$300$	9.24185	+	26.3527i	0.533578	+	1.52147i
$301$	−15.3860	+	2.71297i	−0.886836	+	0.156373i
$302$	7.23263			0.416191
$303$	−29.6352	+	5.22549i	−1.70250	+	0.300197i
$304$	12.1299	+	7.00318i	0.695695	+	0.401660i
$305$	−2.45024	−	2.95522i	−0.140300	−	0.169216i
$306$	−8.23612	−	14.2654i	−0.470828	−	0.815498i
$307$	−7.05996	−	4.07607i	−0.402933	−	0.232634i	0.284816	−	0.958582i	$-0.408068\pi$
$307$	−7.05996	−	4.07607i	−0.402933	−	0.232634i	−0.687749	+	0.725949i	$0.741401\pi$
$308$	−0.906257	−	2.48992i	−0.0516388	−	0.141876i
$309$	31.3612	+	37.3748i	1.78408	+	2.12618i
$310$	−1.54432	−	4.32194i	−0.0877113	−	0.245470i
$311$	13.7812	+	2.42999i	0.781459	+	0.137792i	0.550125	−	0.835082i	$-0.314580\pi$
$311$	13.7812	+	2.42999i	0.781459	+	0.137792i	0.231334	+	0.972874i	$0.425691\pi$
$312$	−4.49153	−	0.791979i	−0.254283	−	0.0448370i
$313$	−17.3231	−	14.5358i	−0.979158	−	0.821611i	0.00480401	−	0.999988i	$-0.498471\pi$
$313$	−17.3231	−	14.5358i	−0.979158	−	0.821611i	−0.983962	+	0.178377i	$0.942915\pi$
$314$	0.221777	−	0.609327i	0.0125156	−	0.0343863i
$315$	−21.6970	−	12.6976i	−1.22249	−	0.715427i
$316$	−9.76420	+	11.6365i	−0.549279	+	0.654606i
$317$	5.51657	+	0.972720i	0.309842	+	0.0546334i	0.326407	−	0.945229i	$-0.394162\pi$
$317$	5.51657	+	0.972720i	0.309842	+	0.0546334i	−0.0165653	+	0.999863i	$0.505273\pi$
$318$	−1.90393	+	10.7977i	−0.106767	+	0.605506i
$319$	−6.74853	+	3.89626i	−0.377845	+	0.218149i
$320$	4.77701	+	8.38762i	0.267043	+	0.468882i
$321$	33.7848	−	12.2966i	1.88568	−	0.686332i
$322$	−1.47055	−	0.849024i	−0.0819507	−	0.0473143i
$323$	25.8844	−	14.9444i	1.44025	−	0.831528i
$324$	−16.0386	−	13.4580i	−0.891035	−	0.747667i
$325$	3.72576	−	3.05229i	0.206668	−	0.169311i
$326$	0.327725	+	1.85862i	0.0181510	+	0.102939i
$327$	−34.8678			−1.92819
$328$	−0.531266	−	3.01296i	−0.0293343	−	0.166363i
$329$	3.44424	−	2.89006i	0.189887	−	0.159334i
$330$	−1.91500	−	1.12070i	−0.105417	−	0.0616926i
$331$	8.16552	+	22.4346i	0.448818	+	1.23312i	0.933548	+	0.358453i	$0.116696\pi$
$331$	8.16552	+	22.4346i	0.448818	+	1.23312i	−0.484730	+	0.874664i	$0.661082\pi$
$332$		−	1.33177i		−	0.0730902i
$333$	31.1897	−	21.8431i	1.70918	−	1.19699i
$334$	5.17061			0.282923
$335$	−27.5534	+	4.69140i	−1.50540	+	0.256318i
$336$	−15.6105	−	5.68175i	−0.851621	−	0.309965i
$337$	−9.21347	−	10.9802i	−0.501890	−	0.598129i	0.454310	−	0.890844i	$-0.349886\pi$
$337$	−9.21347	−	10.9802i	−0.501890	−	0.598129i	−0.956200	+	0.292715i	$0.905441\pi$
$338$	−0.850402	−	4.82287i	−0.0462558	−	0.262329i
$339$		−	48.9462i		−	2.65840i
$340$	26.6211	+	0.156653i	1.44373	+	0.00849568i
$341$	−3.52215	−	2.03352i	−0.190735	−	0.110121i
$342$	−7.52154	+	8.96382i	−0.406718	+	0.484708i
$343$	−16.7582	+	9.67533i	−0.904855	+	0.522418i
$344$	−6.76757	+	11.7218i	−0.364883	+	0.631996i
$345$	15.6338	−	2.66190i	0.841694	−	0.143312i
$346$	5.28011	+	6.29259i	0.283860	+	0.338292i
$347$	10.7063	+	18.5439i	0.574745	+	0.995488i	0.996069	+	0.0885777i	$0.0282321\pi$
$347$	10.7063	+	18.5439i	0.574745	+	0.995488i	−0.421324	+	0.906910i	$0.638435\pi$
$348$	−9.40218	+	53.3224i	−0.504010	+	2.85838i
$349$	2.33228	−	13.2270i	0.124844	−	0.708025i	−0.856557	−	0.516053i	$-0.827401\pi$
$349$	2.33228	−	13.2270i	0.124844	−	0.708025i	0.981400	−	0.191972i	$-0.0614882\pi$
$350$	−3.17601	+	1.78417i	−0.169765	+	0.0953676i
$351$	−3.26828	+	8.97953i	−0.174448	+	0.479292i
$352$	−3.28195	−	1.19453i	−0.174928	−	0.0636687i
$353$	1.51420	+	1.27057i	0.0805928	+	0.0676254i	0.682194	−	0.731171i	$-0.261026\pi$
$353$	1.51420	+	1.27057i	0.0805928	+	0.0676254i	−0.601601	+	0.798797i	$0.705470\pi$
$354$	−0.813951	+	4.61615i	−0.0432610	+	0.245345i
$355$	−27.7501	−	10.2855i	−1.47282	−	0.545899i
$356$	−7.66881	+	4.42759i	−0.406446	+	0.234662i
$357$	−27.1561	+	22.7867i	−1.43725	+	1.20600i
$358$	−0.159809	−	0.439071i	−0.00844615	−	0.0232056i
$359$	−11.2420	+	19.4717i	−0.593330	+	1.02768i	0.400451	+	0.916318i	$0.368854\pi$
$359$	−11.2420	+	19.4717i	−0.593330	+	1.02768i	−0.993780	+	0.111359i	$0.964480\pi$
$360$	−20.5092	+	7.32836i	−1.08093	+	0.386238i
$361$	−1.70994	−	1.43481i	−0.0899970	−	0.0755165i
$362$	−3.40642	+	5.90009i	−0.179038	+	0.310102i
$363$	31.0283	−	5.47113i	1.62856	−	0.287160i
$364$			3.17534i			0.166433i
$365$	0.0359165	−	6.10356i	0.00187995	−	0.319475i
$366$	1.62349	−	1.36227i	0.0848612	−	0.0712070i
$367$	−5.42899	+	14.9160i	−0.283391	+	0.778611i	0.713561	+	0.700593i	$0.247081\pi$
$367$	−5.42899	+	14.9160i	−0.283391	+	0.778611i	−0.996952	+	0.0780174i	$0.975141\pi$
$368$	6.65724	−	2.42304i	0.347032	−	0.126309i
$369$	−12.3091			−0.640787
$370$	−0.449000	−	5.49939i	−0.0233424	−	0.285900i
$371$	15.9516			0.828164
$372$	−26.5548	+	9.66516i	−1.37680	+	0.501115i
$373$	−9.06435	+	24.9041i	−0.469334	+	1.28949i	0.448948	+	0.893558i	$0.351799\pi$
$373$	−9.06435	+	24.9041i	−0.469334	+	1.28949i	−0.918282	+	0.395927i	$0.870423\pi$
$374$	−1.62031	+	1.35960i	−0.0837844	+	0.0703035i
$375$	12.1987	−	31.7598i	0.629940	−	1.64007i
$376$		−	3.89517i		−	0.200878i
$377$	9.19645	−	1.62158i	0.473641	−	0.0835158i
$378$	3.61372	−	6.25915i	0.185870	−	0.321936i
$379$	−22.0851	−	18.5316i	−1.13444	−	0.951906i	−0.135195	−	0.990819i	$-0.543166\pi$
$379$	−22.0851	−	18.5316i	−1.13444	−	0.951906i	−0.999243	+	0.0389130i	$0.987610\pi$
$380$	−6.36335	−	17.8085i	−0.326433	−	0.913559i
$381$	3.41604	−	5.91676i	0.175009	−	0.303125i
$382$	−1.16278	−	3.19471i	−0.0594930	−	0.163456i
$383$	−3.24296	+	2.72116i	−0.165707	+	0.139045i	−0.721870	−	0.692028i	$-0.756717\pi$
$383$	−3.24296	+	2.72116i	−0.165707	+	0.139045i	0.556163	+	0.831073i	$0.312273\pi$
$384$	−27.5156	+	15.8861i	−1.40415	+	0.810685i
$385$	−1.12190	+	3.02687i	−0.0571775	+	0.154263i
$386$	0.461138	−	2.61524i	0.0234713	−	0.133112i
$387$	41.7159	+	35.0038i	2.12054	+	1.77934i
$388$	9.92111	+	3.61099i	0.503668	+	0.183320i
$389$	3.67317	−	10.0919i	0.186237	−	0.511682i	−0.811076	−	0.584941i	$-0.801118\pi$
$389$	3.67317	−	10.0919i	0.186237	−	0.511682i	0.997313	+	0.0732588i	$0.0233399\pi$
$390$	1.69714	+	2.04691i	0.0859380	+	0.103649i
$391$	2.62519	−	14.8882i	0.132762	−	0.752929i
$392$	−1.01980	+	5.78358i	−0.0515078	+	0.292115i
$393$	−18.2641	−	31.6343i	−0.921302	−	1.59574i
$394$	−0.759314	−	0.904915i	−0.0382537	−	0.0455890i
$395$	18.2436	−	3.10626i	0.917934	−	0.156293i
$396$	−4.61787	+	7.99839i	−0.232057	+	0.401934i
$397$	27.9779	−	16.1531i	1.40417	−	0.810700i	0.409355	−	0.912375i	$-0.365754\pi$
$397$	27.9779	−	16.1531i	1.40417	−	0.810700i	0.994818	+	0.101676i	$0.0324204\pi$
$398$	−2.38953	+	2.84773i	−0.119776	+	0.142744i
$399$	21.8087	+	12.5913i	1.09180	+	0.630352i
$400$	2.81514	−	14.9354i	0.140757	−	0.746770i
$401$			4.27679i			0.213573i	0.994282	+	0.106786i	$0.0340561\pi$
$401$			4.27679i			0.213573i	−0.994282	+	0.106786i	$0.965944\pi$
$402$	−2.67942	−	15.1958i	−0.133637	−	0.757896i
$403$	3.13282	+	3.73355i	0.156057	+	0.185981i
$404$	17.0560	+	6.20787i	0.848567	+	0.308853i
$405$	4.28136	+	25.1451i	0.212742	+	1.24947i
$406$	−7.06294			−0.350528
$407$	−3.45768	−	3.45711i	−0.171391	−	0.171362i
$408$			30.7115i			1.52045i
$409$	−9.55320	−	26.2472i	−0.472375	−	1.29784i	−0.915838	−	0.401548i	$-0.868472\pi$
$409$	−9.55320	−	26.2472i	−0.472375	−	1.29784i	0.443463	−	0.896293i	$-0.353750\pi$
$410$	−0.900906	+	1.53942i	−0.0444926	+	0.0760267i
$411$	−42.6301	+	35.7709i	−2.10279	+	1.76445i
$412$	−5.11010	−	28.9808i	−0.251757	−	1.42778i
$413$	6.81947			0.335564
$414$	1.02776	+	5.82873i	0.0505118	+	0.286466i
$415$	−1.05019	+	1.23672i	−0.0515520	+	0.0607082i
$416$	3.20620	+	2.69032i	0.157197	+	0.131904i
$417$	−29.0040	+	16.7455i	−1.42033	+	0.820029i
$418$	1.30125	+	0.751279i	0.0636464	+	0.0367463i
$419$	−27.4357	+	9.98578i	−1.34032	+	0.487837i	−0.909914	−	0.414797i	$-0.863853\pi$
$419$	−27.4357	+	9.98578i	−1.34032	+	0.487837i	−0.430408	+	0.902634i	$0.641630\pi$
$420$	11.1004	+	19.4905i	0.541645	+	0.951037i
$421$	−1.75178	+	1.01139i	−0.0853766	+	0.0492922i	−0.542081	−	0.840327i	$-0.682363\pi$
$421$	−1.75178	+	1.01139i	−0.0853766	+	0.0492922i	0.456704	+	0.889619i	$0.349030\pi$
$422$	−0.795878	+	4.51365i	−0.0387427	+	0.219721i
$423$	−15.4334	−	2.72133i	−0.750399	−	0.132316i
$424$	8.88298	−	10.5863i	0.431395	−	0.514117i
$425$	−24.5977	−	21.1382i	−1.19316	−	1.02535i
$426$	5.58804	−	15.3530i	0.270741	−	0.743856i
$427$	−2.36196	−	1.98192i	−0.114303	−	0.0959118i
$428$	−21.3560	−	3.76565i	−1.03228	−	0.182019i
$429$	2.32045	+	0.409157i	0.112032	+	0.0197543i
$430$	7.43089	−	2.65521i	0.358349	−	0.128046i
$431$	−0.140774	−	0.167768i	−0.00678084	−	0.00808109i	0.762643	−	0.646819i	$-0.223901\pi$
$431$	−0.140774	−	0.167768i	−0.00678084	−	0.00808109i	−0.769424	+	0.638738i	$0.779457\pi$
$432$	10.3132	+	28.3353i	0.496195	+	1.36328i
$433$	11.7685	+	6.79454i	0.565558	+	0.326525i	0.755373	−	0.655295i	$-0.227456\pi$
$433$	11.7685	+	6.79454i	0.565558	+	0.326525i	−0.189815	+	0.981820i	$0.560789\pi$
$434$	−1.84312	−	3.19238i	−0.0884728	−	0.153239i
$435$	50.7797	−	42.1026i	2.43470	−	2.01866i
$436$	18.2133	+	10.5155i	0.872260	+	0.503599i
$437$	−10.5762	+	1.86487i	−0.505927	+	0.0892087i
$438$	3.36962			0.161007
$439$	−7.42186	+	1.30867i	−0.354226	+	0.0624596i	−0.347930	−	0.937521i	$-0.613115\pi$
$439$	−7.42186	+	1.30867i	−0.354226	+	0.0624596i	−0.00629609	+	0.999980i	$0.502004\pi$
$440$	1.38403	+	2.43013i	0.0659813	+	0.115852i
$441$	22.2032	+	8.08131i	1.05730	+	0.384824i
$442$	2.38189	−	0.866936i	0.113295	−	0.0412359i
$443$		−	13.6578i		−	0.648902i	−0.945902	−	0.324451i	$-0.894820\pi$
$443$		−	13.6578i		−	0.648902i	0.945902	−	0.324451i	$-0.105180\pi$
$444$	−33.8442	+	2.96381i	−1.60618	+	0.140656i
$445$	10.6130	+	1.93581i	0.503103	+	0.0917664i
$446$	−2.43328	−	6.68539i	−0.115219	−	0.316563i
$447$	−10.1519	+	27.8920i	−0.480167	+	1.31925i
$448$	4.98337	+	5.93895i	0.235442	+	0.280589i
$449$	−6.70947	+	1.18306i	−0.316639	+	0.0558321i	−0.329709	−	0.944083i	$-0.606951\pi$
$449$	−6.70947	+	1.18306i	−0.316639	+	0.0558321i	0.0130699	+	0.999915i	$0.495840\pi$
$450$	11.8796	+	4.48286i	0.560012	+	0.211324i
$451$	0.274466	+	1.55658i	0.0129241	+	0.0732963i
$452$	−14.7613	+	25.5673i	−0.694312	+	1.20258i
$453$	−34.8736	+	41.5607i	−1.63850	+	1.95269i
$454$	3.66216	+	6.34305i	0.171874	+	0.297694i
$455$	2.50398	−	2.94872i	0.117389	−	0.138238i
$456$	20.5009	−	7.46172i	0.960043	−	0.349427i
$457$	−16.6899	+	14.0045i	−0.780720	+	0.655102i	−0.943430	−	0.331572i	$-0.892421\pi$
$457$	−16.6899	+	14.0045i	−0.780720	+	0.655102i	0.162710	+	0.986674i	$0.447977\pi$
$458$	−2.09874	−	3.63513i	−0.0980679	−	0.169859i
$459$	63.3690	+	11.1737i	2.95781	+	0.521542i
$460$	−8.96914	−	3.32440i	−0.418188	−	0.155001i
$461$	−0.244773	+	0.291709i	−0.0114002	+	0.0135863i	−0.771714	−	0.635969i	$-0.780601\pi$
$461$	−0.244773	+	0.291709i	−0.0114002	+	0.0135863i	0.760314	+	0.649555i	$0.225045\pi$
$462$	−1.67464	−	0.609521i	−0.0779115	−	0.0283575i
$463$	7.70509	+	2.80442i	0.358086	+	0.130333i	0.514798	−	0.857312i	$-0.327867\pi$
$463$	7.70509	+	2.80442i	0.358086	+	0.130333i	−0.156712	+	0.987644i	$0.550089\pi$
$464$	18.9414	−	22.5734i	0.879330	−	1.04794i
$465$	32.2813	+	11.9650i	1.49701	+	0.554865i
$466$	−5.59747	−	0.986985i	−0.259298	−	0.0457212i
$467$	12.8394	+	22.2386i	0.594138	+	1.02908i	0.993668	+	0.112357i	$0.0358401\pi$
$467$	12.8394	+	22.2386i	0.594138	+	1.02908i	−0.399530	+	0.916720i	$0.630827\pi$
$468$	8.47845	−	7.11426i	0.391916	−	0.328857i
$469$	−21.0950	+	7.67795i	−0.974076	+	0.354535i
$470$	−1.46991	+	1.73099i	−0.0678021	+	0.0798445i
$471$	2.43202	+	4.21239i	0.112062	+	0.194096i
$472$	3.79757	−	4.52577i	0.174797	−	0.208315i
$473$	3.49631	−	6.05578i	0.160760	−	0.278445i
$474$	1.77409	+	10.0614i	0.0814868	+	0.462135i
$475$	−8.13411	+	21.5555i	−0.373219	+	0.989035i
$476$	21.0571	−	3.71294i	0.965152	−	0.170182i
$477$	−35.7391	−	42.5922i	−1.63638	−	1.95016i
$478$	1.02878	−	2.82654i	0.0470551	−	0.129283i
$479$	1.01456	+	2.78748i	0.0463563	+	0.127363i	0.960711	−	0.277552i	$-0.0895232\pi$
$479$	1.01456	+	2.78748i	0.0463563	+	0.127363i	−0.914354	+	0.404915i	$0.867301\pi$
$480$	29.0848	+	5.30508i	1.32753	+	0.242143i
$481$	2.47673	+	5.31023i	0.112929	+	0.242125i
$482$			2.94675i			0.134221i
$483$	11.9693	−	4.35647i	0.544622	−	0.198226i
$484$	−17.8577	−	6.49969i	−0.811716	−	0.295440i
$485$	−6.36552	−	11.1768i	−0.289044	−	0.507512i
$486$	−1.97825	+	0.348818i	−0.0897351	+	0.0158227i
$487$	34.6469			1.57000			0.785000	−	0.619495i	$-0.212663\pi$
$487$	34.6469			1.57000			0.785000	+	0.619495i	$0.212663\pi$
$488$	−2.63061	+	0.463848i	−0.119082	+	0.0209974i
$489$	−12.2603	−	7.07851i	−0.554432	−	0.320101i
$490$	2.63574	−	2.18534i	0.119070	−	0.0987238i
$491$	−12.8267	−	22.2166i	−0.578863	−	1.00262i	−0.995610	−	0.0935978i	$-0.970163\pi$
$491$	−12.8267	−	22.2166i	−0.578863	−	1.00262i	0.416747	−	0.909023i	$-0.363170\pi$
$492$	9.51108	+	5.49122i	0.428792	+	0.247563i
$493$	−21.5069	−	59.0898i	−0.968623	−	2.66127i
$494$	−1.15742	−	1.37935i	−0.0520746	−	0.0620601i
$495$	10.5956	−	3.78603i	0.476237	−	0.170169i
$496$	15.1459	+	2.67062i	0.680069	+	0.119915i
$497$	−23.4089	−	4.12763i	−1.05003	−	0.185149i
$498$	−0.686151	−	0.575749i	−0.0307471	−	0.0257999i
$499$	1.87592	−	5.15405i	0.0839778	−	0.230727i	−0.890595	−	0.454796i	$-0.849712\pi$
$499$	1.87592	−	5.15405i	0.0839778	−	0.230727i	0.974573	+	0.224069i	$0.0719342\pi$
$500$	−15.9502	+	12.9109i	−0.713315	+	0.577395i
$501$	−24.9311	+	29.7118i	−1.11384	+	1.32742i
$502$	−0.330660	−	0.0583042i	−0.0147581	−	0.00260225i
$503$	4.18852	−	23.7543i	0.186757	−	1.05915i	−0.736920	−	0.675980i	$-0.763721\pi$
$503$	4.18852	−	23.7543i	0.186757	−	1.05915i	0.923677	−	0.383172i	$-0.125168\pi$
$504$	−15.1491	+	8.74631i	−0.674792	+	0.389592i
$505$	−10.9434	−	19.2147i	−0.486973	−	0.855043i
$506$	0.714168	−	0.259936i	0.0317486	−	0.0115556i
$507$	31.8139	+	18.3678i	1.41291	+	0.815742i
$508$	−3.56877	+	2.06043i	−0.158338	+	0.0914168i
$509$	−15.4148	−	12.9346i	−0.683250	−	0.573315i	0.233704	−	0.972308i	$-0.424915\pi$
$509$	−15.4148	−	12.9346i	−0.683250	−	0.573315i	−0.916954	+	0.398993i	$0.869360\pi$
$510$	11.5895	−	13.6480i	0.513194	−	0.604342i
$511$	−0.851284	−	4.82787i	−0.0376586	−	0.213572i
$512$	22.6662			1.00171
$513$	−7.93747	−	45.0156i	−0.350448	−	1.98749i
$514$	−4.97440	+	4.17402i	−0.219411	+	0.184108i
$515$	−18.1081	+	30.9422i	−0.797937	+	1.36348i
$516$	−16.6177	−	45.6568i	−0.731554	−	2.00993i
$517$			2.01235i			0.0885030i
$518$	−1.14736	−	4.28060i	−0.0504123	−	0.188079i
$519$	−61.6181			−2.70473
$520$	−0.562530	−	3.30384i	−0.0246686	−	0.144883i
$521$	20.5522	+	7.48040i	0.900410	+	0.327722i	0.750417	−	0.660965i	$-0.229853\pi$
$521$	20.5522	+	7.48040i	0.900410	+	0.327722i	0.149993	+	0.988687i	$0.452075\pi$
$522$	15.8243	+	18.8587i	0.692612	+	0.825423i
$523$	4.98587	+	28.2762i	0.218017	+	1.23643i	0.875594	+	0.483047i	$0.160470\pi$
$523$	4.98587	+	28.2762i	0.218017	+	1.23643i	−0.657578	+	0.753387i	$0.728419\pi$
$524$			22.0324i			0.962491i
$525$	5.06144	−	26.8529i	0.220900	−	1.17196i
$526$	5.38550	+	3.10932i	0.234819	+	0.135573i
$527$	21.0957	−	25.1408i	0.918941	−	1.09515i
$528$	6.43910	−	3.71762i	0.280226	−	0.161789i
$529$	8.78399	−	15.2143i	0.381913	−	0.661492i
$530$	−7.94248	+	1.35233i	−0.344999	+	0.0587416i
$531$	−15.2788	−	18.2086i	−0.663046	−	0.790187i
$532$	−7.59459	−	13.1542i	−0.329267	−	0.570307i
$533$	0.328912	−	1.86535i	0.0142468	−	0.0807974i
$534$	−1.03420	+	5.86524i	−0.0447542	+	0.253814i
$535$	16.8624	+	20.3377i	0.729025	+	0.879275i
$536$	−6.65170	+	18.2754i	−0.287310	+	0.789377i
$537$	3.29357	+	1.19876i	0.142128	+	0.0517304i
$538$	1.07692	+	0.903641i	0.0464292	+	0.0389587i
$539$	0.526857	−	2.98795i	0.0226933	−	0.128700i
$540$	14.1497	−	38.1755i	0.608907	−	1.64281i
$541$	6.90596	−	3.98716i	0.296911	−	0.171421i	−0.344144	−	0.938917i	$-0.611831\pi$
$541$	6.90596	−	3.98716i	0.296911	−	0.171421i	0.641054	+	0.767496i	$0.278497\pi$
$542$	−2.97849	+	2.49925i	−0.127937	+	0.107352i
$543$	−17.4788	−	48.0227i	−0.750089	−	2.06085i
$544$	14.0917	−	24.4076i	0.604177	−	1.04647i
$545$	−8.62125	−	24.1275i	−0.369294	−	1.03351i
$546$	1.63599	+	1.37276i	0.0700140	+	0.0587487i
$547$	−13.4887	+	23.3631i	−0.576734	+	0.998932i	0.419117	+	0.907932i	$0.362340\pi$
$547$	−13.4887	+	23.3631i	−0.576734	+	0.998932i	−0.995851	+	0.0910002i	$0.970994\pi$
$548$	33.0559	−	5.82864i	1.41208	−	0.248987i
$549$			10.7471i			0.458674i
$550$	0.301999	−	1.60222i	0.0128773	−	0.0683191i
$551$	−34.2190	+	28.7131i	−1.45778	+	1.22322i
$552$	3.77418	−	10.3695i	0.160640	−	0.441354i
$553$	13.9674	−	5.08371i	0.593953	−	0.216181i
$554$	−3.95615			−0.168081
$555$	33.7660	+	23.9363i	1.43329	+	1.01604i
$556$	20.2005			0.856691
$557$	−34.5058	+	12.5591i	−1.46206	+	0.532146i	−0.945931	−	0.324367i	$-0.894849\pi$
$557$	−34.5058	+	12.5591i	−1.46206	+	0.532146i	−0.516127	+	0.856512i	$0.672627\pi$
$558$	−4.39449	+	12.0738i	−0.186034	+	0.511123i
$559$	−6.41924	+	5.38639i	−0.271505	+	0.227820i
$560$	0.0718314	−	12.2069i	0.00303543	−	0.515834i
$561$		−	15.8664i		−	0.669879i
$562$	−3.54089	+	0.624354i	−0.149363	+	0.0263368i
$563$	−15.5433	+	26.9217i	−0.655070	+	1.13462i	0.326806	+	0.945092i	$0.394028\pi$
$563$	−15.5433	+	26.9217i	−0.655070	+	1.13462i	−0.981876	+	0.189524i	$0.939306\pi$
$564$	10.7112	+	8.98775i	0.451022	+	0.378452i
$565$	33.8694	−	12.1022i	1.42490	−	0.509145i
$566$	−4.29567	+	7.44032i	−0.180560	+	0.312740i
$567$	7.00688	+	19.2512i	0.294261	+	0.808476i
$568$	−15.7751	+	13.2369i	−0.661908	+	0.555407i
$569$	1.08438	−	0.626070i	0.0454598	−	0.0262462i	−0.477098	−	0.878850i	$-0.658311\pi$
$569$	1.08438	−	0.626070i	0.0454598	−	0.0262462i	0.522558	+	0.852604i	$0.324978\pi$
$570$	−11.9263	−	4.42046i	−0.499537	−	0.185153i
$571$	0.709326	−	4.02279i	0.0296844	−	0.168349i	−0.966362	−	0.257187i	$-0.917204\pi$
$571$	0.709326	−	4.02279i	0.0296844	−	0.168349i	0.996046	+	0.0888384i	$0.0283155\pi$
$572$	−1.08870	−	0.913528i	−0.0455209	−	0.0381965i
$573$	23.9643	+	8.72229i	1.00112	+	0.364379i
$574$	−0.489979	+	1.34621i	−0.0204513	+	0.0561896i
$575$	5.70750	+	10.1600i	0.238019	+	0.423700i
$576$	4.69244	−	26.6121i	0.195518	−	1.10884i
$577$	0.938057	−	5.31998i	0.0390518	−	0.221474i	−0.959036	−	0.283284i	$-0.908576\pi$
$577$	0.938057	−	5.31998i	0.0390518	−	0.221474i	0.998088	+	0.0618100i	$0.0196873\pi$
$578$	−5.08602	−	8.80925i	−0.211551	−	0.366416i
$579$	12.8045	+	15.2598i	0.532135	+	0.634174i
$580$	−39.2223	+	6.67822i	−1.62862	+	0.277298i
$581$	−0.651566	+	1.12854i	−0.0270315	+	0.0468199i
$582$	6.14953	−	3.55043i	0.254906	−	0.147170i
$583$	−4.58918	+	5.46918i	−0.190065	+	0.226510i
$584$	−3.67809	−	2.12355i	−0.152200	−	0.0878729i
$585$	−13.4835	−	0.0793436i	−0.557472	−	0.00328045i
$586$			0.0912540i			0.00376967i
$587$	−2.86751	−	16.2624i	−0.118355	−	0.671222i	−0.985034	−	0.172358i	$-0.944862\pi$
$587$	−2.86751	−	16.2624i	−0.118355	−	0.671222i	0.866680	−	0.498865i	$-0.166250\pi$
$588$	−13.5510	−	16.1494i	−0.558832	−	0.665990i
$589$	−21.9078	−	7.97377i	−0.902693	−	0.328553i
$590$	−3.39550	+	0.578137i	−0.139790	+	0.0238015i
$591$	8.86108			0.364496
$592$	16.7580	+	7.81268i	0.688748	+	0.321099i
$593$			39.9907i			1.64222i	0.570768	+	0.821112i	$0.306646\pi$
$593$			39.9907i			1.64222i	−0.570768	+	0.821112i	$0.693354\pi$
$594$	1.10637	+	3.03973i	0.0453949	+	0.124722i
$595$	−22.4822	−	13.1571i	−0.921681	−	0.539389i
$596$	13.7146	−	11.5079i	0.561771	−	0.471382i
$597$	−4.84225	−	27.4618i	−0.198180	−	1.12394i
$598$	−0.910762			−0.0372438
$599$	−1.81733	−	10.3066i	−0.0742541	−	0.421116i	−0.999162	−	0.0409251i	$-0.986969\pi$
$599$	−1.81733	−	10.3066i	−0.0742541	−	0.421116i	0.924908	−	0.380191i	$-0.124142\pi$
$600$	−15.0025	−	18.3127i	−0.612473	−	0.747612i
$601$	−11.3561	−	9.52890i	−0.463225	−	0.388692i	0.381091	−	0.924537i	$-0.375548\pi$
$601$	−11.3561	−	9.52890i	−0.463225	−	0.388692i	−0.844316	+	0.535846i	$0.819993\pi$
$602$	5.48880	−	3.16896i	0.223707	−	0.129157i
$603$	67.7636	+	39.1233i	2.75955	+	1.59323i
$604$	30.7503	−	11.1922i	1.25121	−	0.455404i
$605$	11.4578	+	20.1179i	0.465825	+	0.817910i
$606$	10.5720	−	6.10377i	0.429460	−	0.247949i
$607$	−1.16721	+	6.61955i	−0.0473754	+	0.268679i	−0.999290	−	0.0376853i	$-0.988002\pi$
$607$	−1.16721	+	6.61955i	−0.0473754	+	0.268679i	0.951914	+	0.306365i	$0.0991127\pi$
$608$	−19.7166	−	3.47657i	−0.799613	−	0.140993i
$609$	34.0554	−	40.5856i	1.37999	−	1.64461i
$610$	1.34407	+	0.786580i	0.0544198	+	0.0318477i
$611$	0.824794	−	2.26610i	0.0333676	−	0.0916767i
$612$	−57.0918	−	47.9057i	−2.30780	−	1.93647i
$613$	18.0397	+	3.18089i	0.728617	+	0.128475i	0.525638	−	0.850708i	$-0.323827\pi$
$613$	18.0397	+	3.18089i	0.728617	+	0.128475i	0.202979	+	0.979183i	$0.434938\pi$
$614$	3.25683	+	0.574266i	0.131435	+	0.0231755i
$615$	−4.50205	−	12.5995i	−0.181540	−	0.508060i
$616$	1.44382	+	1.72068i	0.0581734	+	0.0693283i
$617$	−1.32824	−	3.64931i	−0.0534730	−	0.146916i	0.910081	−	0.414431i	$-0.136020\pi$
$617$	−1.32824	−	3.64931i	−0.0534730	−	0.146916i	−0.963554	+	0.267516i	$0.913797\pi$
$618$	−17.1406	−	9.89615i	−0.689498	−	0.398082i
$619$	15.3029	+	26.5053i	0.615074	+	1.06534i	0.990372	+	0.138435i	$0.0442072\pi$
$619$	15.3029	+	26.5053i	0.615074	+	1.06534i	−0.375297	+	0.926904i	$0.622459\pi$
$620$	−13.2538	−	15.9854i	−0.532287	−	0.641990i
$621$	−20.0228	−	11.5602i	−0.803489	−	0.463894i
$622$	−5.59059	+	0.985773i	−0.224162	+	0.0395259i
$623$	8.66477			0.347147
$624$	−8.77479	+	1.54723i	−0.351273	+	0.0619389i
$625$	24.9931	+	0.588390i	0.999723	+	0.0235356i
$626$	8.62042	+	3.13758i	0.344541	+	0.125403i
$627$	−10.5913	+	3.85492i	−0.422976	+	0.153951i
$628$		−	2.93381i		−	0.117072i
$629$	32.3185	−	22.6336i	1.28862	−	0.902462i
$630$	10.0327	+	1.82997i	0.399713	+	0.0729079i
$631$	15.2339	+	41.8548i	0.606452	+	1.66621i	0.737915	+	0.674893i	$0.235810\pi$
$631$	15.2339	+	41.8548i	0.606452	+	1.66621i	−0.131463	+	0.991321i	$0.541967\pi$
$632$	4.40421	−	12.1005i	0.175190	−	0.481331i
$633$	−22.0992	−	26.3368i	−0.878364	−	1.04679i
$634$	−2.23790	+	0.394602i	−0.0888784	+	0.0156717i
$635$	4.93887	+	0.900853i	0.195993	+	0.0357493i
$636$	8.61426	+	48.8539i	0.341578	+	1.93718i
$637$	−1.81795	+	3.14879i	−0.0720300	+	0.124760i
$638$	2.03197	−	2.42161i	0.0804465	−	0.0958724i
$639$	41.4260	+	71.7519i	1.63879	+	2.83846i
$640$	−17.7961	−	15.1121i	−0.703454	−	0.597357i
$641$	−19.2279	+	6.99839i	−0.759457	+	0.276420i	−0.692580	−	0.721341i	$-0.743526\pi$
$641$	−19.2279	+	6.99839i	−0.759457	+	0.276420i	−0.0668775	+	0.997761i	$0.521304\pi$
$642$	−11.1728	+	9.37506i	−0.440954	+	0.370004i
$643$	6.77603	+	11.7364i	0.267221	+	0.462840i	0.968143	−	0.250398i	$-0.0805614\pi$
$643$	6.77603	+	11.7364i	0.267221	+	0.462840i	−0.700922	+	0.713237i	$0.747228\pi$
$644$	−7.56604	−	1.33410i	−0.298144	−	0.0525708i
$645$	−20.5720	+	55.5026i	−0.810020	+	2.18541i
$646$	−7.79376	+	9.28824i	−0.306641	+	0.365441i
$647$	13.3279	+	4.85094i	0.523972	+	0.190710i	0.590445	−	0.807078i	$-0.298952\pi$
$647$	13.3279	+	4.85094i	0.523972	+	0.190710i	−0.0664728	+	0.997788i	$0.521175\pi$
$648$	16.6781	+	6.07033i	0.655177	+	0.238465i
$649$	−1.96193	+	2.33813i	−0.0770124	+	0.0917798i
$650$	−0.996779	+	1.68048i	−0.0390969	+	0.0659140i
$651$	27.2313	+	4.80162i	1.06728	+	0.188190i
$652$	4.26949	+	7.39498i	0.167206	+	0.289610i
$653$	22.7020	−	19.0492i	0.888397	−	0.745453i	−0.0794913	−	0.996836i	$-0.525330\pi$
$653$	22.7020	−	19.0492i	0.888397	−	0.745453i	0.967888	+	0.251382i	$0.0808851\pi$
$654$	13.2917	−	4.83779i	0.519748	−	0.189173i
$655$	17.3742	−	20.4600i	0.678865	−	0.799438i
$656$	−2.98851	−	5.17624i	−0.116682	−	0.202098i
$657$	−10.9836	+	13.0897i	−0.428510	+	0.510678i
$658$	−0.911970	+	1.57958i	−0.0355523	+	0.0615784i
$659$	−8.14954	−	46.2183i	−0.317461	−	1.80041i	−0.558076	−	0.829790i	$-0.688460\pi$
$659$	−8.14954	−	46.2183i	−0.317461	−	1.80041i	0.240615	−	0.970621i	$-0.422651\pi$
$660$	−9.87606	−	1.80140i	−0.384425	−	0.0701194i
$661$	23.7868	−	4.19425i	0.925199	−	0.163138i	0.309302	−	0.950964i	$-0.399905\pi$
$661$	23.7868	−	4.19425i	0.925199	−	0.163138i	0.615897	+	0.787827i	$0.288794\pi$
$662$	−6.22546	−	7.41921i	−0.241959	−	0.288356i
$663$	−6.50309	+	17.8671i	−0.252559	+	0.693901i
$664$	0.386124	+	1.06087i	0.0149845	+	0.0411697i
$665$	−3.32048	+	18.2043i	−0.128763	+	0.705932i
$666$	−8.85896	+	12.6541i	−0.343278	+	0.490338i
$667$			22.5941i			0.874849i
$668$	21.9834	−	8.00129i	0.850562	−	0.309579i
$669$	50.1487	+	18.2526i	1.93886	+	0.705688i
$670$	9.85253	−	5.61132i	0.380637	−	0.216784i
$671$	1.35905	−	0.239636i	0.0524654	−	0.00925106i
$672$	23.7457			0.916012
$673$	−30.4470	+	5.36863i	−1.17365	+	0.206946i	−0.726276	−	0.687403i	$-0.758751\pi$
$673$	−30.4470	+	5.36863i	−1.17365	+	0.206946i	−0.447370	+	0.894349i	$0.647639\pi$
$674$	5.03568	+	2.90735i	0.193967	+	0.111987i
$675$	−43.2440	+	24.2929i	−1.66446	+	0.935035i
$676$	−11.0788	−	19.1890i	−0.426106	−	0.738037i
$677$	−15.2768	−	8.82007i	−0.587135	−	0.338983i	0.176829	−	0.984242i	$-0.443416\pi$
$677$	−15.2768	−	8.82007i	−0.587135	−	0.338983i	−0.763964	+	0.645259i	$0.776750\pi$
$678$	6.79114	+	18.6585i	0.260812	+	0.716575i
$679$	−6.64051	−	7.91386i	−0.254840	−	0.303706i
$680$	−21.2515	+	7.59359i	−0.814957	+	0.291201i
$681$	−54.1068	−	9.54049i	−2.07338	−	0.365592i
$682$	1.62480	+	0.286496i	0.0622169	+	0.0109705i
$683$	−4.23402	−	3.55277i	−0.162010	−	0.135943i	0.558179	−	0.829721i	$-0.311500\pi$
$683$	−4.23402	−	3.55277i	−0.162010	−	0.135943i	−0.720189	+	0.693778i	$0.755945\pi$
$684$	−18.1075	+	49.7499i	−0.692357	+	1.90223i
$685$	−35.2930	−	20.6543i	−1.34848	−	0.789160i
$686$	5.04585	−	6.01341i	0.192652	−	0.229593i
$687$	31.0080	+	5.46755i	1.18303	+	0.208600i
$688$	−4.59171	+	26.0409i	−0.175057	+	0.992800i
$689$	7.40950	−	4.27788i	0.282280	−	0.162974i
$690$	−5.59033	+	3.18386i	−0.212820	+	0.121208i
$691$	−22.6364	+	8.23899i	−0.861130	+	0.313426i	−0.734570	−	0.678533i	$-0.762616\pi$
$691$	−22.6364	+	8.23899i	−0.861130	+	0.313426i	−0.126560	+	0.991959i	$0.540394\pi$
$692$	32.1865	+	18.5829i	1.22355	+	0.706414i
$693$	7.82640	−	4.51858i	0.297301	−	0.171647i
$694$	−6.65419	−	5.58353i	−0.252590	−	0.211948i
$695$	−18.7588	−	15.9295i	−0.711561	−	0.604242i
$696$	−7.97032	−	45.2020i	−0.302114	−	1.71338i
$697$	−12.7546			−0.483115
$698$	0.946131	+	5.36578i	0.0358116	+	0.203098i
$699$	32.6608	−	27.4057i	1.23535	−	1.03658i
$700$	−10.7422	+	12.5003i	−0.406017	+	0.472467i
$701$	−4.40745	−	12.1094i	−0.166467	−	0.457365i	0.828209	−	0.560420i	$-0.189360\pi$
$701$	−4.40745	−	12.1094i	−0.166467	−	0.457365i	−0.994676	+	0.103056i	$0.967138\pi$
$702$		−	3.87650i		−	0.146309i
$703$	−22.9608	−	16.0745i	−0.865984	−	0.606262i
$704$	−3.46993			−0.130778
$705$	−2.85925	−	16.7928i	−0.107685	−	0.632455i
$706$	−0.753506	−	0.274254i	−0.0283586	−	0.0103217i
$707$	−11.4161	−	13.6052i	−0.429347	−	0.511676i
$708$	3.68269	+	20.8856i	0.138404	+	0.784929i
$709$			1.71517i			0.0644146i	0.999481	+	0.0322073i	$0.0102537\pi$
$709$			1.71517i			0.0644146i	−0.999481	+	0.0322073i	$0.989746\pi$
$710$	12.0055	+	0.0706467i	0.450559	+	0.00265132i
$711$	−44.8675	−	25.9043i	−1.68266	−	0.971486i
$712$	4.82517	−	5.75041i	0.180831	−	0.215506i
$713$	−10.2124	+	5.89610i	−0.382456	+	0.220811i
$714$	7.19043	−	12.4542i	0.269095	−	0.466086i
$715$	0.290618	+	1.70685i	0.0108685	+	0.0638326i
$716$	−1.35889	−	1.61946i	−0.0507840	−	0.0605220i
$717$	11.2816	+	19.5404i	0.421320	+	0.729748i
$718$	1.58385	−	8.98248i	0.0591089	−	0.335223i
$719$	0.0690262	−	0.391467i	0.00257424	−	0.0145993i	−0.983494	−	0.180943i	$-0.942085\pi$
$719$	0.0690262	−	0.391467i	0.00257424	−	0.0145993i	0.986068	+	0.166344i	$0.0531961\pi$
$720$	−32.7544	+	27.1573i	−1.22068	+	1.01209i
$721$	−9.84852	+	27.0586i	−0.366778	+	1.00771i
$722$	0.850913	+	0.309707i	0.0316677	+	0.0115261i
$723$	−16.9329	−	14.2084i	−0.629740	−	0.528415i
$724$	−5.35261	+	30.3562i	−0.198928	+	1.12818i
$725$	41.6893	+	24.7280i	1.54830	+	0.918377i
$726$	−11.0690	+	6.39069i	−0.410809	+	0.237181i
$727$	−34.0593	+	28.5791i	−1.26319	+	1.05994i	−0.267853	+	0.963460i	$0.586314\pi$
$727$	−34.0593	+	28.5791i	−1.26319	+	1.05994i	−0.995335	+	0.0964811i	$0.969241\pi$
$728$	−0.920638	−	2.52943i	−0.0341211	−	0.0937470i
$729$	−9.57652	+	16.5870i	−0.354686	+	0.614334i
$730$	0.833158	+	2.33168i	0.0308366	+	0.0862995i
$731$	43.2256	+	36.2706i	1.59876	+	1.34152i
$732$	4.79438	−	8.30411i	0.177205	−	0.306929i
$733$	16.3862	−	2.88933i	0.605238	−	0.106720i	0.137372	−	0.990519i	$-0.456134\pi$
$733$	16.3862	−	2.88933i	0.605238	−	0.106720i	0.467865	+	0.883800i	$0.345023\pi$
$734$		−	6.43930i		−	0.237679i
$735$	−0.151131	+	25.6827i	−0.00557453	+	0.947322i
$736$	−7.75742	+	6.50925i	−0.285942	+	0.239934i
$737$	3.43645	−	9.44156i	0.126583	−	0.347784i
$738$	4.69228	−	1.70785i	0.172725	−	0.0628669i
$739$	2.89588			0.106527			0.0532634	−	0.998580i	$-0.483038\pi$
$739$	2.89588			0.106527			0.0532634	+	0.998580i	$0.483038\pi$
$740$	−10.4190	−	22.6864i	−0.383012	−	0.833970i
$741$	13.5069			0.496187
$742$	−6.08080	+	2.21323i	−0.223233	+	0.0812503i
$743$	9.19428	−	25.2611i	0.337306	−	0.926739i	−0.648850	−	0.760916i	$-0.724750\pi$
$743$	9.19428	−	25.2611i	0.337306	−	0.926739i	0.986156	−	0.165823i	$-0.0530281\pi$
$744$	18.3510	−	15.3983i	0.672779	−	0.564529i
$745$	−21.8106	−	0.128345i	−0.799078	−	0.00470219i
$746$		−	10.7512i		−	0.393629i
$747$	4.47313	−	0.788734i	0.163663	−	0.0288583i
$748$	−4.78500	+	8.28786i	−0.174957	+	0.303034i
$749$	16.2549	+	13.6394i	0.593939	+	0.498374i
$750$	−0.243632	+	13.7995i	−0.00889620	+	0.503886i
$751$	14.5769	−	25.2479i	0.531918	−	0.921309i	−0.467387	−	0.884053i	$-0.654805\pi$
$751$	14.5769	−	25.2479i	0.531918	−	0.921309i	0.999306	−	0.0372569i	$-0.0118620\pi$
$752$	−2.60268	−	7.15079i	−0.0949098	−	0.260763i
$753$	1.92937	−	1.61894i	0.0703103	−	0.0589974i
$754$	−3.28073	+	1.89413i	−0.119477	+	0.0689802i
$755$	−37.3815	−	13.8554i	−1.36045	−	0.504250i
$756$	5.67834	−	32.2035i	0.206519	−	1.17123i
$757$	−24.4489	−	20.5151i	−0.888612	−	0.745634i	0.0793195	−	0.996849i	$-0.474725\pi$
$757$	−24.4489	−	20.5151i	−0.888612	−	0.745634i	−0.967931	+	0.251216i	$0.919170\pi$
$758$	10.9901	+	4.00009i	0.399180	+	0.145290i
$759$	−1.94984	+	5.35714i	−0.0707747	+	0.194452i
$760$	10.2323	+	12.3411i	0.371163	+	0.447659i
$761$	−3.89898	+	22.1122i	−0.141338	+	0.801568i	0.828897	+	0.559402i	$0.188969\pi$
$761$	−3.89898	+	22.1122i	−0.141338	+	0.801568i	−0.970235	+	0.242166i	$0.922142\pi$
$762$	−0.481277	+	2.72946i	−0.0174348	+	0.0988778i
$763$	−10.2894	−	17.8217i	−0.372500	−	0.645189i
$764$	−9.88737	−	11.7833i	−0.357712	−	0.426305i
$765$	15.2401	+	89.5078i	0.551007	+	3.23616i
$766$	0.858674	−	1.48727i	0.0310252	−	0.0537372i
$767$	3.16764	−	1.82884i	0.114377	−	0.0660356i
$768$	−8.60237	+	10.2519i	−0.310411	+	0.369934i
$769$	−6.35195	−	3.66730i	−0.229057	−	0.132246i	0.381080	−	0.924542i	$-0.375552\pi$
$769$	−6.35195	−	3.66730i	−0.229057	−	0.132246i	−0.610137	+	0.792296i	$0.708886\pi$
$770$	0.00770585	−	1.30951i	0.000277700	−	0.0471916i
$771$		−	48.7102i		−	1.75425i
$772$	−2.08640	−	11.8326i	−0.0750913	−	0.425864i
$773$	30.4856	+	36.3314i	1.09649	+	1.30675i	0.948154	+	0.317811i	$0.102948\pi$
$773$	30.4856	+	36.3314i	1.09649	+	1.30675i	0.148338	+	0.988937i	$0.452608\pi$
$774$	−20.7589	−	7.55563i	−0.746164	−	0.271581i
$775$	−0.297722	+	25.2962i	−0.0106945	+	0.908665i
$776$	−8.94997			−0.321285
$777$	30.1298	+	14.0467i	1.08090	+	0.503923i
$778$			4.35673i			0.156196i
$779$	3.09888	+	8.51411i	0.111029	+	0.305050i
$780$	10.3831	+	6.07642i	0.371774	+	0.217571i
$781$	8.14983	−	6.83852i	0.291624	−	0.244702i
$782$	1.06496	+	6.03968i	0.0380828	+	0.215979i
$783$	−96.1679			−3.43676
$784$	1.99231	+	11.2990i	0.0711541	+	0.403535i
$785$	−2.31352	+	2.72443i	−0.0825731	+	0.0972389i
$786$	11.3515	+	9.52505i	0.404895	+	0.339747i
$787$	12.3126	−	7.10871i	0.438898	−	0.253398i	−0.264232	−	0.964459i	$-0.585118\pi$
$787$	12.3126	−	7.10871i	0.438898	−	0.253398i	0.703130	+	0.711061i	$0.251785\pi$
$788$	−4.62862	−	2.67234i	−0.164888	−	0.0951980i
$789$	−43.8343	+	15.9544i	−1.56054	+	0.567991i
$790$	−6.52354	+	3.71536i	−0.232097	+	0.132186i
$791$	25.0175	−	14.4439i	0.889520	−	0.513565i
$792$	1.35953	−	7.71029i	0.0483089	−	0.273973i
$793$	−1.62864	−	0.287173i	−0.0578346	−	0.0101978i
$794$	−8.42411	+	10.0395i	−0.298961	+	0.356287i
$795$	30.5254	−	52.1602i	1.08262	−	1.84993i
$796$	−5.75259	+	15.8051i	−0.203895	+	0.560197i
$797$	33.1838	+	27.8445i	1.17543	+	0.986303i	0.999998	+	0.00181088i	$0.000576422\pi$
$797$	33.1838	+	27.8445i	1.17543	+	0.986303i	0.175431	+	0.984492i	$0.443868\pi$
$798$	−10.0606	−	1.77395i	−0.356140	−	0.0627972i
$799$	−15.9920	−	2.81982i	−0.565756	−	0.0997581i
$800$	3.52040	+	21.4375i	0.124465	+	0.757931i
$801$	−19.4132	−	23.1357i	−0.685931	−	0.817461i
$802$	−0.593392	−	1.63033i	−0.0209534	−	0.0575690i
$803$	1.90020	+	1.09708i	0.0670566	+	0.0387151i
$804$	−34.9066	−	60.4601i	−1.23106	−	2.13226i
$805$	5.97403	+	7.20525i	0.210557	+	0.253952i
$806$	−1.71226	−	0.988575i	−0.0603118	−	0.0348211i
$807$	−10.3851	+	1.83118i	−0.365574	+	0.0644606i
$808$	−15.3865			−0.541293
$809$	−0.512621	+	0.0903888i	−0.0180228	+	0.00317790i	−0.182652	−	0.983178i	$-0.558468\pi$
$809$	−0.512621	+	0.0903888i	−0.0180228	+	0.00317790i	0.164630	+	0.986355i	$0.447357\pi$
$810$	−5.12088	−	8.99140i	−0.179929	−	0.315926i
$811$	40.9174	+	14.8927i	1.43680	+	0.522954i	0.938873	−	0.344263i	$-0.111871\pi$
$811$	40.9174	+	14.8927i	1.43680	+	0.522954i	0.497931	+	0.867217i	$0.334093\pi$
$812$	−30.0288	+	10.9296i	−1.05381	+	0.383554i
$813$		−	29.1658i		−	1.02289i
$814$	1.79774	+	0.838120i	0.0630109	+	0.0293761i
$815$	1.86669	−	10.2340i	0.0653873	−	0.358482i
$816$	20.5208	+	56.3805i	0.718372	+	1.97371i
$817$	13.7096	−	37.6669i	0.479639	−	1.31780i
$818$	7.28343	+	8.68006i	0.254659	+	0.303491i
$819$	−10.6653	+	1.88058i	−0.372676	+	0.0657129i
$820$	−1.44810	+	7.93913i	−0.0505700	+	0.277246i
$821$	3.17102	+	17.9837i	0.110669	+	0.627637i	0.988804	+	0.149223i	$0.0476771\pi$
$821$	3.17102	+	17.9837i	0.110669	+	0.627637i	−0.878134	+	0.478414i	$0.841212\pi$
$822$	11.2877	−	19.5508i	0.393703	−	0.681913i
$823$	4.41697	−	5.26394i	0.153966	−	0.183489i	−0.683548	−	0.729906i	$-0.739564\pi$
$823$	4.41697	−	5.26394i	0.153966	−	0.183489i	0.837514	+	0.546416i	$0.184008\pi$
$824$	12.4732	+	21.6042i	0.434523	+	0.752616i
$825$	7.75068	+	9.46082i	0.269844	+	0.329383i
$826$	−2.59961	+	0.946181i	−0.0904520	+	0.0329218i
$827$	8.32938	−	6.98918i	0.289641	−	0.243038i	−0.486376	−	0.873750i	$-0.661682\pi$
$827$	8.32938	−	6.98918i	0.289641	−	0.243038i	0.776017	+	0.630712i	$0.217237\pi$
$828$	13.3893	+	23.1910i	0.465312	+	0.805944i
$829$	39.4462	+	6.95543i	1.37002	+	0.241572i	0.809769	−	0.586748i	$-0.199592\pi$
$829$	39.4462	+	6.95543i	1.37002	+	0.241572i	0.560255	+	0.828320i	$0.310703\pi$
$830$	0.228747	−	0.617154i	0.00793993	−	0.0214217i
$831$	19.0754	−	22.7331i	0.661717	−	0.788604i
$832$	3.90748	+	1.42221i	0.135467	+	0.0493061i
$833$	23.0068	+	8.37379i	0.797139	+	0.290135i
$834$	8.73306	−	10.4077i	0.302401	−	0.360387i
$835$	−26.7240	−	9.90523i	−0.924824	−	0.342785i
$836$	6.69499	+	1.18051i	0.231551	+	0.0408287i
$837$	−25.0957	−	43.4670i	−0.867434	−	1.50244i
$838$	9.07311	−	7.61324i	0.313425	−	0.262995i
$839$	−9.24284	+	3.36412i	−0.319098	+	0.116142i	−0.496603	−	0.867978i	$-0.665420\pi$
$839$	−9.24284	+	3.36412i	−0.319098	+	0.116142i	0.177505	+	0.984120i	$0.443197\pi$
$840$	−14.4934	−	12.3075i	−0.500070	−	0.424648i
$841$	32.4896	+	56.2736i	1.12033	+	1.94047i
$842$	0.527459	−	0.628601i	0.0181774	−	0.0216630i
$843$	13.4854	−	23.3574i	0.464462	−	0.804471i
$844$	3.60092	+	20.4218i	0.123949	+	0.702948i
$845$	−4.84381	+	26.5559i	−0.166632	+	0.913550i
$846$	6.26086	−	1.10396i	0.215253	−	0.0379549i
$847$	11.9528	+	14.2447i	0.410702	+	0.489455i
$848$	9.23389	−	25.3699i	0.317093	−	0.871206i
$849$	−22.0417	−	60.5591i	−0.756469	−	2.07838i
$850$	12.3096	+	4.64510i	0.422215	+	0.159326i
$851$	−13.6935	+	3.67038i	−0.469408	+	0.125819i
$852$		−	73.9222i		−	2.53253i
$853$	−39.2583	+	14.2889i	−1.34418	+	0.489241i	−0.911126	−	0.412128i	$-0.864786\pi$
$853$	−39.2583	+	14.2889i	−1.34418	+	0.489241i	−0.433052	+	0.901369i	$0.642564\pi$
$854$	1.17537	+	0.427801i	0.0402204	+	0.0146390i
$855$	56.0466	−	31.9202i	1.91675	−	1.09165i
$856$	18.1037	−	3.19218i	0.618773	−	0.109106i
$857$	22.3532			0.763572			0.381786	−	0.924251i	$-0.375309\pi$
$857$	22.3532			0.763572			0.381786	+	0.924251i	$0.375309\pi$
$858$	−0.941333	+	0.165982i	−0.0321366	+	0.00566654i
$859$	10.1552	+	5.86311i	0.346491	+	0.200047i	0.663139	−	0.748496i	$-0.269224\pi$
$859$	10.1552	+	5.86311i	0.346491	+	0.200047i	−0.316648	+	0.948543i	$0.602557\pi$
$860$	27.4844	−	22.7879i	0.937209	−	0.777060i
$861$	−5.37315	−	9.30657i	−0.183116	−	0.317167i
$862$	0.0769408	+	0.0444218i	0.00262061	+	0.00151301i
$863$	−6.44728	−	17.7138i	−0.219468	−	0.602983i	0.780280	−	0.625430i	$-0.215077\pi$
$863$	−6.44728	−	17.7138i	−0.219468	−	0.602983i	−0.999748	+	0.0224469i	$0.992854\pi$
$864$	−27.7054	−	33.0181i	−0.942559	−	1.12330i
$865$	−15.2354	−	42.6380i	−0.518020	−	1.44973i
$866$	−5.42892	−	0.957264i	−0.184482	−	0.0325292i
$867$	75.1436	+	13.2499i	2.55201	+	0.449989i
$868$	−12.7763	−	10.7206i	−0.433656	−	0.363881i
$869$	−2.27533	+	6.25143i	−0.0771854	+	0.212065i
$870$	−13.5158	+	23.0952i	−0.458230	+	0.783000i
$871$	−7.73955	+	9.22364i	−0.262245	+	0.312531i
$872$	−17.5573	−	3.09582i	−0.594565	−	0.104838i
$873$	−6.25283	+	35.4616i	−0.211626	+	1.20019i
$874$	3.77294	−	2.17831i	0.127622	−	0.0736823i
$875$	19.8329	−	3.13716i	0.670476	−	0.106055i
$876$	14.3263	−	5.21435i	0.484041	−	0.176177i
$877$	−37.7383	−	21.7882i	−1.27433	−	0.735735i	−0.298531	−	0.954400i	$-0.596497\pi$
$877$	−37.7383	−	21.7882i	−1.27433	−	0.735735i	−0.975800	+	0.218665i	$0.929830\pi$
$878$	2.64767	−	1.52863i	0.0893544	−	0.0515888i
$879$	−0.524371	−	0.439999i	−0.0176866	−	0.0148408i
$880$	4.16459	+	3.53647i	0.140388	+	0.119215i
$881$	5.57697	+	31.6286i	0.187893	+	1.06559i	0.922182	+	0.386757i	$0.126405\pi$
$881$	5.57697	+	31.6286i	0.187893	+	1.06559i	−0.734289	+	0.678837i	$0.762484\pi$
$882$	−9.58521			−0.322751
$883$	8.17997	+	46.3909i	0.275278	+	1.56118i	0.738077	+	0.674716i	$0.235734\pi$
$883$	8.17997	+	46.3909i	0.275278	+	1.56118i	−0.462799	+	0.886463i	$0.653155\pi$
$884$	8.78530	−	7.37174i	0.295482	−	0.247938i
$885$	13.0499	−	22.2991i	0.438669	−	0.749575i
$886$	1.89498	+	5.20641i	0.0636630	+	0.174913i
$887$		−	14.8997i		−	0.500281i	−0.968210	−	0.250141i	$-0.919523\pi$
$887$		−	14.8997i		−	0.500281i	0.968210	−	0.250141i	$-0.0804769\pi$
$888$	26.1006	−	12.1735i	0.875878	−	0.408517i
$889$	4.03225			0.135237
$890$	−4.31429	+	0.734577i	−0.144615	+	0.0246231i
$891$	−8.61635	−	3.13609i	−0.288659	−	0.105063i
$892$	−20.6907	−	24.6582i	−0.692777	−	0.825619i
$893$	2.00312	+	11.3603i	0.0670320	+	0.380157i
$894$		−	12.0411i		−	0.402714i
$895$	−0.0151553	+	2.57546i	−0.000506587	+	0.0860881i
$896$	−16.2395	−	9.37588i	−0.542524	−	0.313226i
$897$	4.39142	−	5.23349i	0.146625	−	0.174741i
$898$	2.39353	−	1.38190i	0.0798731	−	0.0461148i
$899$	−24.5245	+	42.4777i	−0.817938	+	1.41671i
$900$	57.4446	+	0.676090i	1.91482	+	0.0225363i
$901$	−37.0325	−	44.1337i	−1.23373	−	1.47031i
$902$	−0.320598	−	0.555292i	−0.0106747	−	0.0184892i
$903$	−8.25562	+	46.8199i	−0.274730	+	1.55807i
$904$	4.34582	−	24.6463i	0.144540	−	0.819725i
$905$	28.9086	−	23.9688i	0.960955	−	0.796748i
$906$	7.52753	−	20.6817i	0.250085	−	0.687104i
$907$	17.3274	+	6.30664i	0.575346	+	0.209409i	0.613272	−	0.789872i	$-0.289853\pi$
$907$	17.3274	+	6.30664i	0.575346	+	0.209409i	−0.0379264	+	0.999281i	$0.512075\pi$
$908$	25.3857	+	21.3011i	0.842453	+	0.706902i
$909$	−10.7496	+	60.9642i	−0.356543	+	2.02205i
$910$	−0.545403	+	1.47148i	−0.0180799	+	0.0487792i
$911$	29.9054	−	17.2659i	0.990810	−	0.572045i	0.0852940	−	0.996356i	$-0.472817\pi$
$911$	29.9054	−	17.2659i	0.990810	−	0.572045i	0.905516	+	0.424311i	$0.139484\pi$
$912$	32.6500	−	27.3966i	1.08115	−	0.907192i
$913$	−0.199482	−	0.548073i	−0.00660190	−	0.0181386i
$914$	4.41917	−	7.65423i	0.146173	−	0.253179i
$915$	−11.0006	+	3.93074i	−0.363669	+	0.129946i
$916$	−14.5482	−	12.2074i	−0.480687	−	0.403345i
$917$	10.7793	−	18.6704i	0.355965	−	0.616550i
$918$	−25.7068	+	4.53281i	−0.848451	+	0.149605i
$919$			16.9978i			0.560706i	0.959897	+	0.280353i	$0.0904515\pi$
$919$			16.9978i			0.560706i	−0.959897	+	0.280353i	$0.909549\pi$
$920$	8.10856	+	0.0477149i	0.267331	+	0.00157311i
$921$	−19.0033	+	15.9457i	−0.626181	+	0.525429i
$922$	0.0528347	−	0.145162i	0.00174002	−	0.00478066i
$923$	−11.9804	+	4.36051i	−0.394339	+	0.143528i
$924$	−8.06313			−0.265258
$925$	−8.21444	+	29.2835i	−0.270089	+	0.962835i
$926$	−3.32632			−0.109310
$927$	94.3142	−	34.3276i	3.09769	−	1.12747i
$928$	−14.4062	+	39.5808i	−0.472908	+	1.29930i
$929$	−31.1560	+	26.1430i	−1.02219	+	0.857723i	−0.989902	−	0.141755i	$-0.954725\pi$
$929$	−31.1560	+	26.1430i	−1.02219	+	0.857723i	−0.0322928	+	0.999478i	$0.510281\pi$
$930$	−13.9659	−	0.0821824i	−0.457959	−	0.00269487i
$931$		−	17.3923i		−	0.570010i
$932$	−25.3255	+	4.46558i	−0.829566	+	0.146275i
$933$	21.2916	−	36.8782i	0.697057	−	1.20734i
$934$	−7.97997	−	6.69599i	−0.261113	−	0.219100i
$935$	10.9791	−	3.92305i	0.359054	−	0.128297i
$936$	−4.69115	+	8.12532i	−0.153335	+	0.265584i
$937$	1.39821	+	3.84156i	0.0456776	+	0.125498i	0.960434	−	0.278508i	$-0.0898398\pi$
$937$	1.39821	+	3.84156i	0.0456776	+	0.125498i	−0.914756	+	0.404006i	$0.867618\pi$
$938$	6.97620	−	5.85373i	0.227781	−	0.191131i
$939$	−59.5945	+	34.4069i	−1.94479	+	1.12283i
$940$	−3.57087	+	9.63410i	−0.116469	+	0.314230i
$941$	0.261499	−	1.48304i	0.00852463	−	0.0483456i	−0.980249	−	0.197769i	$-0.936631\pi$
$941$	0.261499	−	1.48304i	0.00852463	−	0.0483456i	0.988773	+	0.149423i	$0.0477416\pi$
$942$	−1.51155	−	1.26834i	−0.0492490	−	0.0413248i
$943$	4.30648	+	1.56743i	0.140238	+	0.0510426i
$944$	3.94759	−	10.8459i	0.128483	−	0.353004i
$945$	−30.6679	+	25.4274i	−0.997626	+	0.827153i
$946$	−0.492585	+	2.79359i	−0.0160153	+	0.0908274i
$947$	3.09820	−	17.5708i	0.100678	−	0.570973i	−0.892181	−	0.451678i	$-0.850826\pi$
$947$	3.09820	−	17.5708i	0.100678	−	0.570973i	0.992859	−	0.119295i	$-0.0380633\pi$
$948$	23.1123	+	40.0317i	0.750653	+	1.30017i
$949$	−1.69015	−	2.01425i	−0.0548647	−	0.0653852i
$950$	0.109993	−	9.34563i	0.00356864	−	0.303212i
$951$	8.52299	−	14.7623i	0.276377	−	0.478699i
$952$	−15.6973	+	9.06285i	−0.508753	+	0.293729i
$953$	−17.6435	+	21.0267i	−0.571530	+	0.681123i	−0.971944	−	0.235212i	$-0.924422\pi$
$953$	−17.6435	+	21.0267i	−0.571530	+	0.681123i	0.400415	+	0.916334i	$0.368866\pi$
$954$	19.5334	+	11.2776i	0.632417	+	0.365126i
$955$	−0.110271	+	18.7392i	−0.00356830	+	0.606388i
$956$		−	13.6093i		−	0.440157i
$957$	4.11768	+	23.3525i	0.133106	+	0.754880i
$958$	−0.773507	−	0.921830i	−0.0249909	−	0.0297830i
$959$	−30.8633	−	11.2333i	−0.996629	−	0.362743i
$960$	28.9562	−	4.93025i	0.934556	−	0.159123i
$961$	5.40061			0.174213
$962$	−1.68092	−	1.68064i	−0.0541950	−	0.0541860i
$963$		−	73.9608i		−	2.38335i
$964$	4.55998	+	12.5284i	0.146867	+	0.403514i
$965$	−7.39334	+	12.6334i	−0.238000	+	0.406683i
$966$	−3.95830	+	3.32141i	−0.127356	+	0.106864i
$967$	0.0908781	+	0.515395i	0.00292244	+	0.0165740i	0.986234	−	0.165355i	$-0.0528770\pi$
$967$	0.0908781	+	0.515395i	0.00292244	+	0.0165740i	−0.983312	+	0.181929i	$0.941766\pi$
$968$	16.1097			0.517786
$969$	−15.7936	−	89.5702i	−0.507365	−	2.87741i
$970$	3.97731	+	3.37744i	0.127704	+	0.108443i
$971$	−23.5867	−	19.7916i	−0.756934	−	0.635143i	0.180393	−	0.983595i	$-0.442263\pi$
$971$	−23.5867	−	19.7916i	−0.756934	−	0.635143i	−0.937327	+	0.348452i	$0.886708\pi$
$972$	−7.87095	+	4.54429i	−0.252461	+	0.145758i
$973$	−17.1180	−	9.88306i	−0.548777	−	0.316836i
$974$	−13.2075	+	4.80715i	−0.423197	+	0.154031i
$975$	−4.85035	−	13.8306i	−0.155336	−	0.442932i
$976$	−4.51938	+	2.60926i	−0.144662	+	0.0835205i
$977$	5.26411	−	29.8543i	0.168414	−	0.955123i	−0.777060	−	0.629426i	$-0.783290\pi$
$977$	5.26411	−	29.8543i	0.168414	−	0.955123i	0.945474	−	0.325697i	$-0.105599\pi$
$978$	5.65581	+	0.997272i	0.180853	+	0.0318892i
$979$	−2.49281	+	2.97081i	−0.0796705	+	0.0949476i
$980$	7.82438	−	13.3699i	0.249941	−	0.427086i
$981$	−24.5325	+	67.4025i	−0.783263	+	2.15200i
$982$	7.97209	+	6.68938i	0.254400	+	0.213467i
$983$	−41.1433	−	7.25467i	−1.31227	−	0.231388i	−0.526640	−	0.850088i	$-0.676548\pi$
$983$	−41.1433	−	7.25467i	−1.31227	−	0.231388i	−0.785627	+	0.618700i	$0.787660\pi$
$984$	−9.16849	−	1.61665i	−0.292281	−	0.0515370i
$985$	2.19095	+	6.13162i	0.0698095	+	0.195370i
$986$	16.3970	+	19.5412i	0.522188	+	0.622320i
$987$	−4.67945	−	12.8567i	−0.148949	−	0.409233i
$988$	−7.05537	−	4.07342i	−0.224461	−	0.129593i
$989$	−10.1374	−	17.5585i	−0.322351	−	0.558328i
$990$	−3.51379	+	2.91335i	−0.111675	+	0.0925925i
$991$	−28.7917	−	16.6229i	−0.914598	−	0.528043i	−0.0326900	−	0.999466i	$-0.510407\pi$
$991$	−28.7917	−	16.6229i	−0.914598	−	0.528043i	−0.881908	+	0.471422i	$0.843741\pi$
$992$	−21.6496	+	3.81740i	−0.687375	+	0.121203i
$993$	72.6501			2.30548
$994$	9.49628	−	1.67445i	0.301204	−	0.0531103i
$995$	17.8055	−	10.1408i	0.564472	−	0.321484i
$996$	−3.80819	−	1.38607i	−0.120667	−	0.0439192i
$997$	8.09857	−	2.94764i	0.256484	−	0.0933526i	−0.210578	−	0.977577i	$-0.567535\pi$
$997$	8.09857	−	2.94764i	0.256484	−	0.0933526i	0.467062	+	0.884224i	$0.345312\pi$
$998$			2.22502i			0.0704319i
$999$	−15.6223	−	58.2840i	−0.494269	−	1.84403i

Display

a_p

with

p

up to: 50 250 1000 (See

a_n

instead) (See

a_n

instead) (See

a_n

instead) Display

a_n

with

n

up to: 50 250 1000 (See only

a_p

) (See only

a_p

) (See only

a_p

)

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	185.2.v.a.104.7	✓	96
5.2	odd	4		925.2.bb.e.326.7		96
5.3	odd	4		925.2.bb.e.326.10		96
5.4	even	2	inner	185.2.v.a.104.10	yes	96
37.21	even	18	inner	185.2.v.a.169.10	yes	96
185.58	odd	36		925.2.bb.e.576.10		96
185.132	odd	36		925.2.bb.e.576.7		96
185.169	even	18	inner	185.2.v.a.169.7	yes	96

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
185.2.v.a.104.7	✓	96	1.1	even	1	trivial
185.2.v.a.104.10	yes	96	5.4	even	2	inner
185.2.v.a.169.7	yes	96	185.169	even	18	inner
185.2.v.a.169.10	yes	96	37.21	even	18	inner
925.2.bb.e.326.7		96	5.2	odd	4
925.2.bb.e.326.10		96	5.3	odd	4
925.2.bb.e.576.7		96	185.132	odd	36
925.2.bb.e.576.10		96	185.58	odd	36

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Elliptic curves over $\Q$
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Newspace parameters

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Twists

This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.

Label	185.2.v.a.104.7

Level	$185$
Weight	$2$
Character	185.104
Analytic conductor	$1.477$
Analytic rank	$0$
Dimension	$96$
Inner twists	$4$